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The Greatest Common Factor and the Least Common Multiplier Calculator

First Number: Second Number:
Third Number (not required):



Greatest Common Factor (GCF):
Least Common Multiplier (LCM):

The greatest common factor

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

The Least Common Multiple

A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....
The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

"Chance favors the prepared mind." - Louis Pasteur