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Word info Synonyms Antonyms

least common multiple

Noun

Meaning

the smallest multiple that is exactly divisible by every member of a set of numbers

Source: WordNet

Synonyms

lcm lowest common multiple multiple factor divisor divisible divisibility common denominator greatest common divisor common factor common multiple highest common factor least common multiplier common divisor common multiplier
Show all synonyms

Antonyms

greatest common divisor

Hypernyms

multiple

Related terms

lowest common denominator least common denominator

Examples

the least common multiple of 12 and 18 is 36 Source: Internet

A least common multiple of a and b is a common multiple that is minimal in the sense that for any other common multiple n of a and b, m divides n. In general, two elements in a commutative ring can have no least common multiple or more than one. Source: Internet

Footnote 27, p. 9: "For example, the natural numbers with gcd (greatest common divisor) as meet and lcm (least common multiple) as join operation determine a (complete distributive) lattice." Source: Internet

Given two positive integers their least common multiple and greatest common divisor are given by the formulas : and : Since : this gives : In fact, any rational number can be written uniquely as the product of primes if negative exponents are allowed. Source: Internet

Notation In this article we will denote the least common multiple of two integers a and b as lcm(a, b). Source: Internet

Close letter words and terms

least closefisted least come-hither least common denominator least common multiplier least compact least compressed