Least Common Multiple  of 13 and 22 is 286

How to find the Least Common Multiple of 13 and 22?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 13 and 22.

Follow the steps below, and let's calculate the LCM of 13 and 22.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 13 and 22:

Prime factors of 13

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

13 = 131

Prime factors of 22

The prime factors of 22 are 2 and 11. Prime factorization of 22 in exponential form is:

22 = 21x111


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

131, 21, 111


Step 3: Multiply these values together:

131x21x111=286


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 13 and 22.

The Least Common Multiple of 13 and 22 is 286.


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

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352


Therefore,

LCM(13, 22) = 286