Least Common Multiple  of 14 and 19 is 266

How to find the Least Common Multiple of 14 and 19?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 14 and 19.

Follow the steps below, and let's calculate the LCM of 14 and 19.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 14 and 19:

Prime factors of 14

The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:

14 = 21x71

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, 71, 191


Step 3: Multiply these values together:

21x71x191=266


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 14 and 19.

The Least Common Multiple of 14 and 19 is 266.


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 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308

Multiples of 19:

19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323


Therefore,

LCM(14, 19) = 266