Least Common Multiple  of 14 and 27 is 378

How to find the Least Common Multiple of 14 and 27?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 14 and 27.

Follow the steps below, and let's calculate the LCM of 14 and 27.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 14 and 27:

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 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:

21, 71, 33


Step 3: Multiply these values together:

21x71x33=378


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 14 and 27.

The Least Common Multiple of 14 and 27 is 378.


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, 322, 336, 350, 364, 378, 392, 406, 420

Multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459


Therefore,

LCM(14, 27) = 378