Least Common Multiple  of 13 and 17 is 221

How to find the Least Common Multiple of 13 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 13 and 17.

Follow the steps below, and let's calculate the LCM of 13 and 17.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 13 and 17:

Prime factors of 13

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

13 = 131

Prime factors of 17

The prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171


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

131, 171


Step 3: Multiply these values together:

131x171=221


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 13 and 17.

The Least Common Multiple of 13 and 17 is 221.


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 13:

13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260

Multiples of 17:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272


Therefore,

LCM(13, 17) = 221