 ## How to find the Least Common Multiple of 5 and 14?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 14.

Follow the steps below, and let's calculate the LCM of 5 and 14.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 5 and 14:

##### Prime factors of 5

The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

##### Prime factors of 14

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

14 = 21x71

51, 21, 71

51x21x71=70

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 14.

The Least Common Multiple of 5 and 14 is 70.

### 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 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85

#### Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112

LCM(5, 14) = 70