How to find the Least Common Multiple of 30 and 36?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 30 and 36.
Follow the steps below, and let's calculate the LCM of 30 and 36.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 30 and 36:
Prime factors of 30
The prime factors of 30 are 2, 3 and 5. Prime factorization of 30 in exponential form is:
30 = 21x31x51
Prime factors of 36
The prime factors of 36 are 2, 2, 3 and 3. Prime factorization of 36 in exponential form is:
36 = 22x32
Step 2: Identify the highest power of each prime number from the above boxes:
22, 32, 51
Step 3: Multiply these values together:
22x32x51=180
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 30 and 36.
The Least Common Multiple of 30 and 36 is 180.
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 30:
30, 60, 90, 120, 150, 180, 210, 240, 270
Multiples of 36:
36, 72, 108, 144, 180, 216, 252, 288
Therefore,
LCM(30, 36) = 180