 ## How to find the Least Common Multiple of 6 and 16?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 16.

Follow the steps below, and let's calculate the LCM of 6 and 16.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 6 and 16:

##### 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 16

The prime factors of 16 are 2, 2, 2 and 2. Prime factorization of 16 in exponential form is:

16 = 24

24, 31

24x31=48

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 6 and 16.

The Least Common Multiple of 6 and 16 is 48.

### 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

#### Multiples of 16:

16, 32, 48, 64, 80, 96

LCM(6, 16) = 48