 ## How to find the Least Common Multiple of 3 and 14?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 3 and 14.

Follow the steps below, and let's calculate the LCM of 3 and 14.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 3 and 14:

##### Prime factors of 3

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

3 = 31

##### Prime factors of 14

The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:

14 = 21x71

31, 21, 71

31x21x71=42

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 3 and 14.

The Least Common Multiple of 3 and 14 is 42.

### 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 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51

#### Multiples of 14:

14, 28, 42, 56, 70, 84

LCM(3, 14) = 42