 ## How to find the Least Common Multiple of 8 and 10?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 10.

Follow the steps below, and let's calculate the LCM of 8 and 10.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 10:

##### 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 10

The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:

10 = 21x51

23, 51

23x51=40

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 10.

The Least Common Multiple of 8 and 10 is 40.

### 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

#### Multiples of 10:

10, 20, 30, 40, 50, 60, 70

LCM(8, 10) = 40