Least Common Multiple  of 17 and 26 is 442

How to find the Least Common Multiple of 17 and 26?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 17 and 26.

Follow the steps below, and let's calculate the LCM of 17 and 26.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 17 and 26:

Prime factors of 17

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

17 = 171

Prime factors of 26

The prime factors of 26 are 2 and 13. Prime factorization of 26 in exponential form is:

26 = 21x131


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

171, 21, 131


Step 3: Multiply these values together:

171x21x131=442


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 17 and 26.

The Least Common Multiple of 17 and 26 is 442.


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

Multiples of 26:

26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468, 494, 520


Therefore,

LCM(17, 26) = 442