 ## How to find the Least Common Multiple of 4 and 15?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 15.

Follow the steps below, and let's calculate the LCM of 4 and 15.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 4 and 15:

##### Prime factors of 4

The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:

4 = 22

##### Prime factors of 15

The prime factors of 15 are 3 and 5. Prime factorization of 15 in exponential form is:

15 = 31x51

22, 31, 51

22x31x51=60

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 15.

The Least Common Multiple of 4 and 15 is 60.

### 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 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72

#### Multiples of 15:

15, 30, 45, 60, 75, 90, 105

LCM(4, 15) = 60