How to find the Least Common Multiple of 18 and 24?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 18 and 24.
Follow the steps below, and let's calculate the LCM of 18 and 24.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 18 and 24:
Prime factors of 18
The prime factors of 18 are 2, 3 and 3. Prime factorization of 18 in exponential form is:
18 = 21x32
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
Step 2: Identify the highest power of each prime number from the above boxes:
23, 32
Step 3: Multiply these values together:
23x32=72
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 18 and 24.
The Least Common Multiple of 18 and 24 is 72.
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 18:
18, 36, 54, 72, 90, 108, 126
Multiples of 24:
24, 48, 72, 96, 120, 144
Therefore,
LCM(18, 24) = 72