 ## How to find the Least Common Multiple of 5 and 9?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 9.

Follow the steps below, and let's calculate the LCM of 5 and 9.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 5 and 9:

##### Prime factors of 5

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

5 = 51

##### Prime factors of 9

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

9 = 32

51, 32

51x32=45

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 9.

The Least Common Multiple of 5 and 9 is 45.

### 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 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

#### Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72

LCM(5, 9) = 45