 ## How to find the Least Common Multiple of 8 and 20?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 20.

Follow the steps below, and let's calculate the LCM of 8 and 20.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 20:

##### 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 20

The prime factors of 20 are 2, 2 and 5. Prime factorization of 20 in exponential form is:

20 = 22x51

23, 51

23x51=40

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 20.

The Least Common Multiple of 8 and 20 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 20:

20, 40, 60, 80, 100

LCM(8, 20) = 40