Least Common Multiple  of 9 and 19 is 171

How to find the Least Common Multiple of 9 and 19?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 19.

Follow the steps below, and let's calculate the LCM of 9 and 19.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 9 and 19:

Prime factors of 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32

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:

32, 191


Step 3: Multiply these values together:

32x191=171


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 19.

The Least Common Multiple of 9 and 19 is 171.


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 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 19:

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


Therefore,

LCM(9, 19) = 171