Least Common Multiple  of 13 and 23 is 299

How to find the Least Common Multiple of 13 and 23?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 13 and 23.

Follow the steps below, and let's calculate the LCM of 13 and 23.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 13 and 23:

Prime factors of 13

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

13 = 131

Prime factors of 23

The prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231


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

131, 231


Step 3: Multiply these values together:

131x231=299


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 13 and 23.

The Least Common Multiple of 13 and 23 is 299.


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, 273, 286, 299, 312, 325, 338

Multiples of 23:

23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368


Therefore,

LCM(13, 23) = 299