Least Common Multiple  of 15 and 24 is 120

How to find the Least Common Multiple of 15 and 24?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 15 and 24.

Follow the steps below, and let's calculate the LCM of 15 and 24.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 15 and 24:

Prime factors of 15

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

15 = 31x51

Prime factors of 24

The prime factors of 24 are 2, 2, 2 and 3. Prime factorization of 24 in exponential form is:

24 = 23x31


Step 2: Identify the highest power of each prime number from the above boxes:

31, 51, 23


Step 3: Multiply these values together:

31x51x23=120


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 15 and 24.

The Least Common Multiple of 15 and 24 is 120.


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 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192


Therefore,

LCM(15, 24) = 120