 ## How to find the Least Common Multiple of 8 and 19?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 19.

Follow the steps below, and let's calculate the LCM of 8 and 19.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 8 and 19:

##### 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 19

The prime factors of 19 are 19. Prime factorization of 19 in exponential form is:

19 = 191

23, 191

23x191=152

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 19.

The Least Common Multiple of 8 and 19 is 152.

### 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, 152, 160, 168, 176

#### Multiples of 19:

19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209

LCM(8, 19) = 152