Least Common Multiple Calculator
Calculate the LCM of two or more numbers instantly. Enter integers separated by commas and click “Calculate”.
Enter at least two positive integers separated by commas
Please enter valid numbers separated by commas
Result
For the numbers:
The Least Common Multiple (LCM) is:
36
About Least Common Multiple (LCM)
The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the numbers without a remainder.
Example:
What is the LCM of 12 and 18?
Multiples of 12: 12, 24, 36, 48, 60, 72, …
Multiples of 18: 18, 36, 54, 72, 90, …
The smallest common multiple is 36, so LCM(12, 18) = 36
Formula: For two numbers a and b, you can compute LCM using the greatest common divisor (GCD):
LCM(a, b) = |a × b| / GCD(a, b)
For more than two numbers, you can compute the LCM iteratively:
LCM(a, b, c) = LCM(LCM(a, b), c)