See least common multiple on Wiktionary
Download JSON data for least common multiple meaning in All languages combined (7.0kB)
{
"forms": [
{
"form": "least common multiples",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "least common multiple (plural least common multiples)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Mandarin terms with redundant transliterations",
"parents": [
"Terms with redundant transliterations",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Number theory",
"orig": "en:Number theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"coordinate_terms": [
{
"word": "greatest common divisor"
}
],
"examples": [
{
"text": "120 is the least common multiple of 60, 8 and 15.",
"type": "example"
},
{
"ref": "1859, David Henry Cruttenden, The Objective Or Synthetic Arithmetic, J. M. Bradstreet & Son, page 261",
"text": "The LEAST COMMON MULTIPLE is the smallest number, which can be measured by each of two, or more divisors.\n[…]\nSince 0 is the least multiple of every number, it must be the least common multiple of any, or of all numbers. It is, however, excluded by common consent in finding the least common multiples of numbers, because as such, 0 has no practical value.",
"type": "quotation"
},
{
"ref": "2000, Robert W. Smith, Math Challenges, Grades 4-6, Teacher Created Resources, page 75",
"text": "The least common multiple (LCM) is the smallest common multiple of two or more factors.[…]The least common multiple is used to determine the appropriate denominator for adding unlike fractions. In adding unlike fractions, it is important to find the lowest common denominator of the fractions. This is exactly the same thing as finding the least common multiple of the denominators.",
"type": "quotation"
},
{
"ref": "2007, Jerome Kaufmann, Karen Schwitters, Algebra for College Students, 8th edition, Thomson Learning, page 820",
"text": "It is sometimes necessary to determine the smallest common nonzero multiple of two or more whole numbers. We call this nonzero multiple the least common multiple. In our work with fractions, there will be problems where it will be necessary to find the least common multiple of some numbers, usually the denominators of fractions.",
"type": "quotation"
}
],
"glosses": [
"The smallest positive integer which is divisible by (equivalently, is an integer multiple of) each of a specified finite set of integers."
],
"id": "en-least_common_multiple-en-noun-UkBx11gK",
"links": [
[
"number theory",
"number theory"
],
[
"positive",
"positive"
],
[
"divisible",
"divisible"
]
],
"raw_glosses": [
"(number theory) The smallest positive integer which is divisible by (equivalently, is an integer multiple of) each of a specified finite set of integers."
],
"related": [
{
"word": "least common denominator"
},
{
"word": "lowest common denominator"
}
],
"synonyms": [
{
"topics": [
"number-theory",
"mathematics",
"sciences"
],
"word": "lowest common multiple"
},
{
"topics": [
"number-theory",
"mathematics",
"sciences"
],
"word": "smallest common multiple"
},
{
"tags": [
"initialism"
],
"topics": [
"number-theory",
"mathematics",
"sciences"
],
"word": "lcm"
}
],
"topics": [
"mathematics",
"number-theory",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "(number theory)",
"word": "最小公倍數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "zuìxiǎo gōngbèishù",
"sense": "(number theory)",
"word": "最小公倍数"
},
{
"code": "da",
"lang": "Danish",
"sense": "(number theory)",
"word": "mindste fælles multiplum"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "(number theory)",
"word": "kleinste gemene veelvoud"
},
{
"code": "et",
"lang": "Estonian",
"sense": "(number theory)",
"word": "vähim ühiskordne"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(number theory)",
"word": "pienin yhteinen jaettava"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(number theory)",
"word": "pienin yhteinen monikerta"
},
{
"code": "fr",
"lang": "French",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "plus petit commun multiple"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "umciresi saerto ǯeradi",
"sense": "(number theory)",
"word": "უმცირესი საერთო ჯერადი"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "saerto umciresi ǯeradi",
"sense": "(number theory)",
"word": "საერთო უმცირესი ჯერადი"
},
{
"code": "de",
"lang": "German",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "kleinstes gemeinsames Vielfaches"
},
{
"code": "el",
"lang": "Greek",
"roman": "eláchisto koinó pollaplásio",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "ελάχιστο κοινό πολλαπλάσιο"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "(number theory)",
"word": "legkisebb közös többszörös"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "(number theory)",
"word": "kelipatan persekutuan terkecil"
},
{
"code": "it",
"lang": "Italian",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "minimo comune multiplo"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "saishō kōbaisū",
"sense": "(number theory)",
"word": "最小公倍数"
},
{
"code": "ko",
"lang": "Korean",
"roman": "choesogongbaesu",
"sense": "(number theory)",
"word": "최소공배수"
},
{
"code": "ms",
"lang": "Malay",
"sense": "(number theory)",
"word": "gandaan sepunya terkecil"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(number theory)",
"tags": [
"feminine"
],
"word": "najmniejsza wspólna wielokrotność"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "cel mai mic mutiplu comun"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(number theory)",
"word": "c.m.m.m.c."
},
{
"code": "ru",
"lang": "Russian",
"roman": "naiménʹšeje óbščeje krátnoje",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "наиме́ньшее о́бщее кра́тное"
},
{
"code": "ru",
"lang": "Russian",
"roman": "NOK",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "НОК"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "mínimo común múltiplo"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "(number theory)",
"word": "pinakamaliit na lahatang kaparami"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "(number theory)",
"word": "ortak katların en küçüğü"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "najménše spílʹne krátne",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "найме́нше спі́льне кра́тне"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "NSK",
"sense": "(number theory)",
"tags": [
"abbreviation",
"neuter"
],
"word": "НСК"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "(number theory)",
"word": "bội chung nhỏ nhất"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "(number theory)",
"word": "bội số chung nhỏ nhất"
}
],
"wikipedia": [
"least common multiple"
]
}
],
"word": "least common multiple"
}
{
"coordinate_terms": [
{
"word": "greatest common divisor"
}
],
"forms": [
{
"form": "least common multiples",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "least common multiple (plural least common multiples)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "least common denominator"
},
{
"word": "lowest common denominator"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with quotations",
"English terms with usage examples",
"Mandarin terms with redundant transliterations",
"en:Number theory"
],
"examples": [
{
"text": "120 is the least common multiple of 60, 8 and 15.",
"type": "example"
},
{
"ref": "1859, David Henry Cruttenden, The Objective Or Synthetic Arithmetic, J. M. Bradstreet & Son, page 261",
"text": "The LEAST COMMON MULTIPLE is the smallest number, which can be measured by each of two, or more divisors.\n[…]\nSince 0 is the least multiple of every number, it must be the least common multiple of any, or of all numbers. It is, however, excluded by common consent in finding the least common multiples of numbers, because as such, 0 has no practical value.",
"type": "quotation"
},
{
"ref": "2000, Robert W. Smith, Math Challenges, Grades 4-6, Teacher Created Resources, page 75",
"text": "The least common multiple (LCM) is the smallest common multiple of two or more factors.[…]The least common multiple is used to determine the appropriate denominator for adding unlike fractions. In adding unlike fractions, it is important to find the lowest common denominator of the fractions. This is exactly the same thing as finding the least common multiple of the denominators.",
"type": "quotation"
},
{
"ref": "2007, Jerome Kaufmann, Karen Schwitters, Algebra for College Students, 8th edition, Thomson Learning, page 820",
"text": "It is sometimes necessary to determine the smallest common nonzero multiple of two or more whole numbers. We call this nonzero multiple the least common multiple. In our work with fractions, there will be problems where it will be necessary to find the least common multiple of some numbers, usually the denominators of fractions.",
"type": "quotation"
}
],
"glosses": [
"The smallest positive integer which is divisible by (equivalently, is an integer multiple of) each of a specified finite set of integers."
],
"links": [
[
"number theory",
"number theory"
],
[
"positive",
"positive"
],
[
"divisible",
"divisible"
]
],
"raw_glosses": [
"(number theory) The smallest positive integer which is divisible by (equivalently, is an integer multiple of) each of a specified finite set of integers."
],
"topics": [
"mathematics",
"number-theory",
"sciences"
],
"wikipedia": [
"least common multiple"
]
}
],
"synonyms": [
{
"topics": [
"number-theory",
"mathematics",
"sciences"
],
"word": "lowest common multiple"
},
{
"topics": [
"number-theory",
"mathematics",
"sciences"
],
"word": "smallest common multiple"
},
{
"tags": [
"initialism"
],
"topics": [
"number-theory",
"mathematics",
"sciences"
],
"word": "lcm"
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "(number theory)",
"word": "最小公倍數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "zuìxiǎo gōngbèishù",
"sense": "(number theory)",
"word": "最小公倍数"
},
{
"code": "da",
"lang": "Danish",
"sense": "(number theory)",
"word": "mindste fælles multiplum"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "(number theory)",
"word": "kleinste gemene veelvoud"
},
{
"code": "et",
"lang": "Estonian",
"sense": "(number theory)",
"word": "vähim ühiskordne"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(number theory)",
"word": "pienin yhteinen jaettava"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(number theory)",
"word": "pienin yhteinen monikerta"
},
{
"code": "fr",
"lang": "French",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "plus petit commun multiple"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "umciresi saerto ǯeradi",
"sense": "(number theory)",
"word": "უმცირესი საერთო ჯერადი"
},
{
"code": "ka",
"lang": "Georgian",
"roman": "saerto umciresi ǯeradi",
"sense": "(number theory)",
"word": "საერთო უმცირესი ჯერადი"
},
{
"code": "de",
"lang": "German",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "kleinstes gemeinsames Vielfaches"
},
{
"code": "el",
"lang": "Greek",
"roman": "eláchisto koinó pollaplásio",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "ελάχιστο κοινό πολλαπλάσιο"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "(number theory)",
"word": "legkisebb közös többszörös"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "(number theory)",
"word": "kelipatan persekutuan terkecil"
},
{
"code": "it",
"lang": "Italian",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "minimo comune multiplo"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "saishō kōbaisū",
"sense": "(number theory)",
"word": "最小公倍数"
},
{
"code": "ko",
"lang": "Korean",
"roman": "choesogongbaesu",
"sense": "(number theory)",
"word": "최소공배수"
},
{
"code": "ms",
"lang": "Malay",
"sense": "(number theory)",
"word": "gandaan sepunya terkecil"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(number theory)",
"tags": [
"feminine"
],
"word": "najmniejsza wspólna wielokrotność"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "cel mai mic mutiplu comun"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(number theory)",
"word": "c.m.m.m.c."
},
{
"code": "ru",
"lang": "Russian",
"roman": "naiménʹšeje óbščeje krátnoje",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "наиме́ньшее о́бщее кра́тное"
},
{
"code": "ru",
"lang": "Russian",
"roman": "NOK",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "НОК"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(number theory)",
"tags": [
"masculine"
],
"word": "mínimo común múltiplo"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "(number theory)",
"word": "pinakamaliit na lahatang kaparami"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "(number theory)",
"word": "ortak katların en küçüğü"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "najménše spílʹne krátne",
"sense": "(number theory)",
"tags": [
"neuter"
],
"word": "найме́нше спі́льне кра́тне"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "NSK",
"sense": "(number theory)",
"tags": [
"abbreviation",
"neuter"
],
"word": "НСК"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "(number theory)",
"word": "bội chung nhỏ nhất"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "(number theory)",
"word": "bội số chung nhỏ nhất"
}
],
"word": "least common multiple"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.