How to find the Least Common Multiple of 40 and 48?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 48.
Follow the steps below, and let's calculate the LCM of 40 and 48.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 40 and 48:
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 48
The prime factors of 48 are 2, 2, 2, 2 and 3. Prime factorization of 48 in exponential form is:
48 = 24x31
Step 2: Identify the highest power of each prime number from the above boxes:
24, 51, 31
Step 3: Multiply these values together:
24x51x31=240
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 40 and 48.
The Least Common Multiple of 40 and 48 is 240.
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
Multiples of 48:
48, 96, 144, 192, 240, 288, 336, 384
Therefore,
LCM(40, 48) = 240