# 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.