How to find the Least Common Multiple of 24 and 30?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 24 and 30.
Follow the steps below, and let's calculate the LCM of 24 and 30.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 24 and 30:
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 30
The prime factors of 30 are 2, 3 and 5. Prime factorization of 30 in exponential form is:
30 = 21x31x51
Step 2: Identify the highest power of each prime number from the above boxes:
23, 31, 51
Step 3: Multiply these values together:
23x31x51=120
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 24 and 30.
The Least Common Multiple of 24 and 30 is 120.
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, 192
Multiples of 30:
30, 60, 90, 120, 150, 180, 210
Therefore,
LCM(24, 30) = 120