 ## How to find the Least Common Multiple of 4 and 13?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 13.

Follow the steps below, and let's calculate the LCM of 4 and 13.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 4 and 13:

##### Prime factors of 4

The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:

4 = 22

##### Prime factors of 13

The prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 131

22, 131

22x131=52

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 13.

The Least Common Multiple of 4 and 13 is 52.

### 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 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64

#### Multiples of 13:

13, 26, 39, 52, 65, 78, 91

LCM(4, 13) = 52