Least Common Multiple  of 13 and 18 is 234

How to find the Least Common Multiple of 13 and 18?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 13 and 18.

Follow the steps below, and let's calculate the LCM of 13 and 18.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 13 and 18:

Prime factors of 13

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

13 = 131

Prime factors of 18

The prime factors of 18 are 2, 3 and 3. Prime factorization of 18 in exponential form is:

18 = 21x32


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

131, 21, 32


Step 3: Multiply these values together:

131x21x32=234


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 13 and 18.

The Least Common Multiple of 13 and 18 is 234.


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

Multiples of 18:

18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288


Therefore,

LCM(13, 18) = 234