Least Common Multiple  of 13 and 19 is 247

How to find the Least Common Multiple of 13 and 19?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 13 and 19.

Follow the steps below, and let's calculate the LCM of 13 and 19.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 13 and 19:

Prime factors of 13

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

13 = 131

Prime factors of 19

The prime factors of 19 are 19. Prime factorization of 19 in exponential form is:

19 = 191


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

131, 191


Step 3: Multiply these values together:

131x191=247


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 13 and 19.

The Least Common Multiple of 13 and 19 is 247.


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

Multiples of 19:

19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304


Therefore,

LCM(13, 19) = 247