The Least Common Multiple (LCM) is also referred to as the Lowest Common Multiple (LCM) and Least Common Denominator (LCD). For 2 integers a and b, denoted LCM(a,b), it is the smallest integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. For the least common multiple of more than 2 numbers, say a, b, c and d, it is the smallest integer that is evenly divisible by all numbers and can be calculated such that LCM(a,b,c,d) = LCM(LCM(LCM(a,b),c),d).
Enter the numbers you want evaluated separated by commas. Do not use a thousands separator. Two thousand five hundred and one thousand should be entered as 2500, 1000 not 2,500, 1,000.
For integers a and b you can find the greatest common divisor (GCD) of a and b and use that result to calculate the LCM. You can also find the prime factorization of each integer and use those results to calculate the LCM.
LCM(a,b) = (a*b)/GCD(a,b).
For example, find the LCM(6,10). First find the GCD(6,10) = 2. Then calculate (6*10)/2 = 60/2 = 30. Therefore, LCM(6,10) = 30.
The LCM(a,b) is calculated by finding the prime factorization of both a and b then taking the product of the sets of primes with the highest exponent value among a and b.
For example, for LCM(12,30) we find:
For example, for LCM(24,300) we find:
 Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae, 31st Edition New York, NY: CRC Press, 2003 p. 101.
 Weisstein, Eric W. "Least Common Multiple." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/LeastCommonMultiple.html