 ## How to find the Least Common Multiple of 4 and 9?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 9.

Follow the steps below, and let's calculate the LCM of 4 and 9.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 4 and 9:

##### 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 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32

22, 32

22x32=36

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 9.

The Least Common Multiple of 4 and 9 is 36.

### 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

#### Multiples of 9:

9, 18, 27, 36, 45, 54, 63

LCM(4, 9) = 36