 ## How to find the Least Common Multiple of 30 and 36?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 30 and 36.

Follow the steps below, and let's calculate the LCM of 30 and 36.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 30 and 36:

##### Prime factors of 30

The prime factors of 30 are 2, 3 and 5. Prime factorization of 30 in exponential form is:

30 = 21x31x51

##### Prime factors of 36

The prime factors of 36 are 2, 2, 3 and 3. Prime factorization of 36 in exponential form is:

36 = 22x32

22, 32, 51

22x32x51=180

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 30 and 36.

The Least Common Multiple of 30 and 36 is 180.

### 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 30:

30, 60, 90, 120, 150, 180, 210, 240, 270

#### Multiples of 36:

36, 72, 108, 144, 180, 216, 252, 288

#### Therefore,

LCM(30, 36) = 180