 ## How to find the Least Common Multiple of 8 and 14?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 14.

Follow the steps below, and let's calculate the LCM of 8 and 14.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 14:

##### 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 14

The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:

14 = 21x71

23, 71

23x71=56

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 14.

The Least Common Multiple of 8 and 14 is 56.

### 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

#### Multiples of 14:

14, 28, 42, 56, 70, 84, 98

LCM(8, 14) = 56