 ## How to find the Least Common Multiple of 54 and 66?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 66.

Follow the steps below, and let's calculate the LCM of 54 and 66.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 54 and 66:

##### 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 66

The prime factors of 66 are 2, 3 and 11. Prime factorization of 66 in exponential form is:

66 = 21x31x111

21, 33, 111

21x33x111=594

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 54 and 66.

The Least Common Multiple of 54 and 66 is 594.

### 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, 756

#### Multiples of 66:

66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792

#### Therefore,

LCM(54, 66) = 594