# Least Common Multiple (LCM)

This tutorial will explain what the least common multiple (LCM) is and how to find it.

Table of Contents

## Multiples

Multiples are numbers that result from multiplying numbers with integers (not fractions or decimals).

Example: The multiples of 3 are….

0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, etc..

The opposites of these numbers would be multiples as well. ## Common Multiples

Multiples that are the same for 2 or more numbers.

For example 3 and 4.

Multiples of 3: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60 etc..

Multiples of 4: 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60 etc..

The common multiples are 12, 24, 36, 48, 60, etc.

## The Least Common Multiple

The smallest common multiple of two or more numbers. In the example of 3 and4. 12 is the smallest shared multiple of 3 and 4, so 12 is the least common multiple (LCM).

There are two popular methods for finding LCM.

### List Method: ### Prime Factorization: ## Watch a Video Tutorial

Here is a video tutorial comparing fractions.

## Interactive Class on this Topic

Take an interactive middle school math class on this material, click here