How to find the Least Common Multiple of 40 and 50?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 50.
Follow the steps below, and let's calculate the LCM of 40 and 50.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 40 and 50:
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 50
The prime factors of 50 are 2, 5 and 5. Prime factorization of 50 in exponential form is:
50 = 21x52
Step 2: Identify the highest power of each prime number from the above boxes:
23, 52
Step 3: Multiply these values together:
23x52=200
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 40 and 50.
The Least Common Multiple of 40 and 50 is 200.
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
Multiples of 50:
50, 100, 150, 200, 250, 300, 350
Therefore,
LCM(40, 50) = 200