Least Common Multiple  of 19 and 27 is 513

How to find the Least Common Multiple of 19 and 27?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 19 and 27.

Follow the steps below, and let's calculate the LCM of 19 and 27.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 19 and 27:

Prime factors of 19

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

19 = 191

Prime factors of 27

The prime factors of 27 are 3, 3 and 3. Prime factorization of 27 in exponential form is:

27 = 33


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

191, 33


Step 3: Multiply these values together:

191x33=513


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 19 and 27.

The Least Common Multiple of 19 and 27 is 513.


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 19:

19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 380, 399, 418, 437, 456, 475, 494, 513, 532, 551, 570

Multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594


Therefore,

LCM(19, 27) = 513