LCM
Calculator

Calculate the Least Common Multiple of two or more numbers with prime factorization breakdown.

Input Numbers

Prime Factorization

12 = 2^2 × 3
18 = 2 × 3^2

Result

LCM

36

GCF (Greatest Common Factor)

6

Learn more

How does the LCM solve scheduling problems, and how is it connected to the GCF?

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Frequently Asked Questions

The LCM of two or more integers is the smallest positive integer divisible by all of them. For 4 and 6, the LCM is 12 because 12 is the smallest number both 4 and 6 divide into evenly.

Divide the product of the two numbers by their Greatest Common Factor (GCF). For 8 and 12, the GCF is 4, so the LCM is (8 times 12) / 4 = 24.

The LCM is used to add or subtract fractions with different denominators by finding a common denominator. It also appears in scheduling problems, such as finding when two repeating events will next coincide.

LCM Calculator - Least Common Multiple | ToolsCanvas