Least Common Multiple  of 6 and 19 is 114

How to find the Least Common Multiple of 6 and 19?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 19.

Follow the steps below, and let's calculate the LCM of 6 and 19.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 6 and 19:

Prime factors of 6

The prime factors of 6 are 2 and 3. Prime factorization of 6 in exponential form is:

6 = 21x31

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:

21, 31, 191


Step 3: Multiply these values together:

21x31x191=114


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 6 and 19.

The Least Common Multiple of 6 and 19 is 114.


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 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132

Multiples of 19:

19, 38, 57, 76, 95, 114, 133, 152, 171


Therefore,

LCM(6, 19) = 114