 ## How to find the Least Common Multiple of 8 and 15?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 15.

Follow the steps below, and let's calculate the LCM of 8 and 15.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 15:

##### 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 15

The prime factors of 15 are 3 and 5. Prime factorization of 15 in exponential form is:

15 = 31x51

23, 31, 51

23x31x51=120

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 15.

The Least Common Multiple of 8 and 15 is 120.

### 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, 136, 144

#### Multiples of 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165

LCM(8, 15) = 120