How to find the Least Common Multiple of 40 and 45?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 45.
Follow the steps below, and let's calculate the LCM of 40 and 45.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 40 and 45:
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 45
The prime factors of 45 are 3, 3 and 5. Prime factorization of 45 in exponential form is:
45 = 32x51
Step 2: Identify the highest power of each prime number from the above boxes:
23, 51, 32
Step 3: Multiply these values together:
23x51x32=360
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 40 and 45.
The Least Common Multiple of 40 and 45 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 40:
40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480
Multiples of 45:
45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495
Therefore,
LCM(40, 45) = 360