Least common multiple calculator

LCM(20, 15) = 22×3×5 = 60

20 = 22×5
15 = 3×5
LCM = 22×3×5 = 60

60 / 20 = 3

60 / 15 = 4

What is LCM?

Least common multiple (also called the lowest common multiple or smallest common multiple or LCM) of one or more integer numbers is the smallest positive integer that is divisible by all this numbers.

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

For three or more numbers, proceed similarly, multiple the largest found powers of prime factors of given numbers.

See divisors of numbers 15, 20, 60.