Least Common Multiple  of 36 and 44 is 396

How to find the Least Common Multiple of 36 and 44?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 36 and 44.

Follow the steps below, and let's calculate the LCM of 36 and 44.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 36 and 44:

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

Prime factors of 44

The prime factors of 44 are 2, 2 and 11. Prime factorization of 44 in exponential form is:

44 = 22x111


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

22, 32, 111


Step 3: Multiply these values together:

22x32x111=396


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 36 and 44.

The Least Common Multiple of 36 and 44 is 396.


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 36:

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

Multiples of 44:

44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528


Therefore,

LCM(36, 44) = 396