Least Common Multiple  of 6 and 13 is 78

How to find the Least Common Multiple of 6 and 13?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 13.

Follow the steps below, and let's calculate the LCM of 6 and 13.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 6 and 13:

Prime factors of 6

The prime factors of 6 are 2 and 3. Prime factorization of 6 in exponential form is:

6 = 21x31

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:

21, 31, 131


Step 3: Multiply these values together:

21x31x131=78


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 6 and 13.

The Least Common Multiple of 6 and 13 is 78.


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 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

Multiples of 13:

13, 26, 39, 52, 65, 78, 91, 104, 117


Therefore,

LCM(6, 13) = 78