Noun
an integer that is a multiple of two or more other integers
Source: WordNetA 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