How to find the Least Common Multiple of 24 and 32?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 24 and 32.
Follow the steps below, and let's calculate the LCM of 24 and 32.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 24 and 32:
Prime factors of 24
The prime factors of 24 are 2, 2, 2 and 3. Prime factorization of 24 in exponential form is:
24 = 23x31
Prime factors of 32
The prime factors of 32 are 2, 2, 2, 2 and 2. Prime factorization of 32 in exponential form is:
32 = 25
Step 2: Identify the highest power of each prime number from the above boxes:
25, 31
Step 3: Multiply these values together:
25x31=96
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 24 and 32.
The Least Common Multiple of 24 and 32 is 96.
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 24:
24, 48, 72, 96, 120, 144, 168
Multiples of 32:
32, 64, 96, 128, 160, 192
Therefore,
LCM(24, 32) = 96