Compute the least common multiple of two integers.
Given m and n, the least common multiple is the smallest positive integer that has both m and n as factors. For example, the least common multiple of 12 and 18 is 36, because 12 is a factor (12 × 3 = 36), and 18 is a factor (18 × 2 = 36), and there is no positive integer less than 36 that has both factors. As a special case, if either m or n is zero, then the least common multiple is zero.
One way to calculate the least common multiple is to iterate all the multiples of m, until you find one that is also a multiple of n.
If you already have gcd for greatest common divisor, then this formula calculates lcm.
One can also find lcm by merging the prime decompositions of both m and n.
The least common multiple of 12 and 18 is 36 , and the greatest common divisor 6 !
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