Least Common Multiple  of 26 and 36 is 468

How to find the Least Common Multiple of 26 and 36?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 26 and 36.

Follow the steps below, and let's calculate the LCM of 26 and 36.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 26 and 36:

Prime factors of 26

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

26 = 21x131

Prime factors of 36

The prime factors of 36 are 2, 2, 3 and 3. Prime factorization of 36 in exponential form is:

36 = 22x32


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

22, 131, 32


Step 3: Multiply these values together:

22x131x32=468


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 26 and 36.

The Least Common Multiple of 26 and 36 is 468.


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 26:

26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468, 494, 520, 546

Multiples of 36:

36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576


Therefore,

LCM(26, 36) = 468