Least Common Multiple  of 9 and 13 is 117

How to find the Least Common Multiple of 9 and 13?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 13.

Follow the steps below, and let's calculate the LCM of 9 and 13.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 9 and 13:

Prime factors of 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32

Prime factors of 13

The prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 131


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

32, 131


Step 3: Multiply these values together:

32x131=117


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 13.

The Least Common Multiple of 9 and 13 is 117.


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 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144

Multiples of 13:

13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156


Therefore,

LCM(9, 13) = 117