Least Common Multiple  of 17 and 27 is 459

How to find the Least Common Multiple of 17 and 27?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 17 and 27.

Follow the steps below, and let's calculate the LCM of 17 and 27.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 17 and 27:

Prime factors of 17

The prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171

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:

171, 33


Step 3: Multiply these values together:

171x33=459


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 17 and 27.

The Least Common Multiple of 17 and 27 is 459.


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 17:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510

Multiples of 27:

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


Therefore,

LCM(17, 27) = 459