How to find the Least Common Multiple of 40 and 44?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 44.
Follow the steps below, and let's calculate the LCM of 40 and 44.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 40 and 44:
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
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:
23, 51, 111
Step 3: Multiply these values together:
23x51x111=440
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 40 and 44.
The Least Common Multiple of 40 and 44 is 440.
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 40:
40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560
Multiples of 44:
44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572
Therefore,
LCM(40, 44) = 440