Problem Statement

Compute the   least common multiple   (LCM)   of two integers. Given   m   and   n,   the least common multiple is the smallest positive integer that has both   m   and   n   as factors.

The least common multiple of   12   and   18   is   36,       because:

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.

Let's start with the solution:

// Least common multiple

function gcd(m: number, n: number): number {
  var tmp: number;
  while (m != 0) {
    tmp = m;
    m = n % m;
    n = tmp;
  }
  return n;
}

function lcm(m: number, n: number): number {
    return Math.floor(m / gcd(m, n)) * n;
} 

console.log(`LCM(35, 21) = ${lcm(35, 21)}`);