The least common multiple of two numbers is the smallest number both divide into evenly. It is what you need when adding fractions with different denominators, because it gives the smallest common denominator available.

Math Dictionary / Least Common Multiple

Least Common Multiple

The least common multiple is the smallest positive multiple shared by two or more numbers.

Number SystemGrade 5Grade 6Grade 7GED

What it means

It is often used to find a common denominator.

Also called: LCM

Examples

LCM of 4 and 6 is 12
LCM of 3 and 5 is 15
A common denominator can be an LCM

Common mistake

The least common multiple is a multiple, not a factor.

Try one

Question: What is the LCM of 6 and 8?

Show answer

24.

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