How to find the Least Common Multiple of 36 and 40?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 36 and 40.
Follow the steps below, and let's calculate the LCM of 36 and 40.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 36 and 40:
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 40
The prime factors of 40 are 2, 2, 2 and 5. Prime factorization of 40 in exponential form is:
40 = 23x51
Step 2: Identify the highest power of each prime number from the above boxes:
23, 32, 51
Step 3: Multiply these values together:
23x32x51=360
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 36 and 40.
The Least Common Multiple of 36 and 40 is 360.
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
Multiples of 40:
40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480
Therefore,
LCM(36, 40) = 360