Least Common Multiple  of 5 and 13 is 65

How to find the Least Common Multiple of 5 and 13?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 13.

Follow the steps below, and let's calculate the LCM of 5 and 13.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 5 and 13:

Prime factors of 5

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

5 = 51

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:

51, 131


Step 3: Multiply these values together:

51x131=65


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 13.

The Least Common Multiple of 5 and 13 is 65.


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 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80

Multiples of 13:

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


Therefore,

LCM(5, 13) = 65