Least Common Multiple  of 15 and 22 is 330

How to find the Least Common Multiple of 15 and 22?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 15 and 22.

Follow the steps below, and let's calculate the LCM of 15 and 22.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 15 and 22:

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 22

The prime factors of 22 are 2 and 11. Prime factorization of 22 in exponential form is:

22 = 21x111


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

31, 51, 21, 111


Step 3: Multiply these values together:

31x51x21x111=330


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 15 and 22.

The Least Common Multiple of 15 and 22 is 330.


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, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396


Therefore,

LCM(15, 22) = 330