How to find the Least Common Multiple of 40 and 52?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 52.
Follow the steps below, and let's calculate the LCM of 40 and 52.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 40 and 52:
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 52
The prime factors of 52 are 2, 2 and 13. Prime factorization of 52 in exponential form is:
52 = 22x131
Step 2: Identify the highest power of each prime number from the above boxes:
23, 51, 131
Step 3: Multiply these values together:
23x51x131=520
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 40 and 52.
The Least Common Multiple of 40 and 52 is 520.
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, 600, 640
Multiples of 52:
52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676
Therefore,
LCM(40, 52) = 520