 ## How to find the Least Common Multiple of 8 and 13?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 13.

Follow the steps below, and let's calculate the LCM of 8 and 13.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 13:

##### 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 13

The prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 131

23, 131

23x131=104

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 13.

The Least Common Multiple of 8 and 13 is 104.

### 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, 104, 112, 120, 128

#### Multiples of 13:

13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143

LCM(8, 13) = 104