Learn how to find the Least Common Multiple of two or more numbers in few easy steps.

## Related Topics

## Step by step guide to finding the Least Common Multiple

- The Least Common Multiple is the smallest multiple that two or more numbers have in common.
- How to find
**LCM**: list out all the multiples of each number and then find the smallest one they have in common.

### Least Common Multiple – Example 1:

Find the LCM for \(8\) and \(6\)**.**

**Solution:**

Multiples of \(8\): \(8, 16, 24, 32, 40, …\)

Multiples of \(6\): \(6, 12, 18, 24, 30, 36 …\)

LCM \(=24\)

### Least Common Multiple – Example 2:

Find the LCM for \(4\) and \(12\)**.**

**Solution:**

Multiples of \(4\): \(4, 8, 12, 16, 20, …\)

Multiples of \(12\): \(12, 24, 36, 48, …\)

LCM \(=12\)

### Least Common Multiple – Example 3:

Find the LCM for \(3\) and \(4\)**.**

**Solution:**

Multiples of \(3\): \(3,6,9,12,15,18,21,24\)

Multiples of \(4\): \(4,8,12,16,20,24\)

LCM \(=12\)

### Least Common Multiple – Example 4:

Find the LCM for \(9\) and \(12\)**.**

**Solution:**

Multiples of \(9\): \(9,18,27,36,45\)

Multiples of \(12\): \(12,24,36,48\)

LCM \(=36\)

## Exercises for Finding Least Common Multiple

### Find the LCM for each number pair.

- \(\color{blue}{4,14}\)
- \(\color{blue}{5,15}\)
- \(\color{blue}{16,10}\)
- \(\color{blue}{4,34}\)
- \(\color{blue}{8,3}\)
- \(\color{blue}{12,24}\)

### Download Least Common Multiple Worksheet

## Answers

- \(\color{blue}{28}\)
- \(\color{blue}{15}\)
- \(\color{blue}{80}\)
- \(\color{blue}{68}\)
- \(\color{blue}{24}\)
- \(\color{blue}{24}\)