How to Find the Least Common Multiple

Finding the Least Common Multiple

The least common multiple of two or more numbers can be found.

Imagine we wanted to find the least common multiple of 3 and 4.

How to Find the Least Common Multiple

Finding the least common multiple is easy.

Question

What is the least common multiple of 3 and 4?

Step-by-Step:

1

List the multiples of 3.

Multiples of 3 = 3, 6, 9, 12, 15...

Don't forget: The multiples of 3 are the result of multiplying 3 by successive integers: 3 × 1 = 3, 3 × 2 = 6...

2

List the multiples of 4.

Multiples of 4 = 4, 8, 12, 16, 20...

3

The smallest multiple that appears in both lists is the least common multiple.

Multiples of 3 = 3, 6, 9, 12, 15...

Multiples of 4 = 4, 8, 12, 16, 20...

Answer:

12 is the least common multiple of 3 and 4.

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See Also

What is the least common multiple? What is a multiple?