 ## How to find the Least Common Multiple of 54 and 60?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 60.

Follow the steps below, and let's calculate the LCM of 54 and 60.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 54 and 60:

##### Prime factors of 54

The prime factors of 54 are 2, 3, 3 and 3. Prime factorization of 54 in exponential form is:

54 = 21x33

##### Prime factors of 60

The prime factors of 60 are 2, 2, 3 and 5. Prime factorization of 60 in exponential form is:

60 = 22x31x51

22, 33, 51

22x33x51=540

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 54 and 60.

The Least Common Multiple of 54 and 60 is 540.

### 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 54:

54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702

#### Multiples of 60:

60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720

#### Therefore,

LCM(54, 60) = 540