 ## How to find the Least Common Multiple of 54 and 63?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 63.

Follow the steps below, and let's calculate the LCM of 54 and 63.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 54 and 63:

##### 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 63

The prime factors of 63 are 3, 3 and 7. Prime factorization of 63 in exponential form is:

63 = 32x71

21, 33, 71

21x33x71=378

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 54 and 63.

The Least Common Multiple of 54 and 63 is 378.

### 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

#### Multiples of 63:

63, 126, 189, 252, 315, 378, 441, 504, 567

#### Therefore,

LCM(54, 63) = 378