 ## How to find the Least Common Multiple of 8 and 18?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 18.

Follow the steps below, and let's calculate the LCM of 8 and 18.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 18:

##### Prime factors of 8

The prime factors of 8 are 2, 2 and 2. Prime factorization of 8 in exponential form is:

8 = 23

##### Prime factors of 18

The prime factors of 18 are 2, 3 and 3. Prime factorization of 18 in exponential form is:

18 = 21x32

23, 32

23x32=72

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 18.

The Least Common Multiple of 8 and 18 is 72.

### Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

#### Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

#### Multiples of 18:

18, 36, 54, 72, 90, 108, 126

LCM(8, 18) = 72