# Least Common Multiple

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

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

• 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.

### 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 $$=24$$

### 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 $$=12$$

### 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 $$=12$$

### 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

### Find the LCM for each number pair.

• $$\color{blue}{4,14}$$
• $$\color{blue}{5,15}$$
• $$\color{blue}{16,10}$$
• $$\color{blue}{4,34}$$
• $$\color{blue}{8,3}$$
• $$\color{blue}{12,24}$$

## Answers

• $$\color{blue}{28}$$
• $$\color{blue}{15}$$
• $$\color{blue}{80}$$
• $$\color{blue}{68}$$
• $$\color{blue}{24}$$
• $$\color{blue}{24}$$

30% OFF

X

## How Does It Work?

### 1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

### 2. Add to Cart

Add the eBook to your cart.

### 3. Checkout

Complete the quick and easy checkout process.

### 4. Download

Immediately receive the download link and get the eBook in PDF format.

## Why Buy eBook From Effortlessmath?

Save up to 70% compared to print

Instantly download and access your eBook

Help save the environment

Lifetime access to your eBook

Over 2,000 Test Prep titles available

Over 80,000 happy customers

Over 10,000 reviews with an average rating of 4.5 out of 5

24/7 support

Anytime, Anywhere Access