Least Common Multiple  of 11 and 19 is 209

How to find the Least Common Multiple of 11 and 19?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 11 and 19.

Follow the steps below, and let's calculate the LCM of 11 and 19.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 11 and 19:

Prime factors of 11

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

11 = 111

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:

111, 191


Step 3: Multiply these values together:

111x191=209


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 11 and 19.

The Least Common Multiple of 11 and 19 is 209.


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 11:

11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242

Multiples of 19:

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


Therefore,

LCM(11, 19) = 209