 ## How to find the Least Common Multiple of 4 and 10?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 10.

Follow the steps below, and let's calculate the LCM of 4 and 10.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 4 and 10:

##### 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 10

The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:

10 = 21x51

22, 51

22x51=20

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 10.

The Least Common Multiple of 4 and 10 is 20.

### 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

#### Multiples of 10:

10, 20, 30, 40, 50

LCM(4, 10) = 20