Least Common Multiple  of 15 and 27 is 135

How to find the Least Common Multiple of 15 and 27?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 15 and 27.

Follow the steps below, and let's calculate the LCM of 15 and 27.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 15 and 27:

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 27

The prime factors of 27 are 3, 3 and 3. Prime factorization of 27 in exponential form is:

27 = 33


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

33, 51


Step 3: Multiply these values together:

33x51=135


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 15 and 27.

The Least Common Multiple of 15 and 27 is 135.


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, 180

Multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216


Therefore,

LCM(15, 27) = 135