 ## How to find the Least Common Multiple of 6 and 11?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 11.

Follow the steps below, and let's calculate the LCM of 6 and 11.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 6 and 11:

##### Prime factors of 6

The prime factors of 6 are 2 and 3. Prime factorization of 6 in exponential form is:

6 = 21x31

##### Prime factors of 11

The prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111

21, 31, 111

21x31x111=66

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 6 and 11.

The Least Common Multiple of 6 and 11 is 66.

### 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 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

#### Multiples of 11:

11, 22, 33, 44, 55, 66, 77, 88, 99

LCM(6, 11) = 66