How to find the Least Common Multiple of 36 and 45?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 36 and 45.
Follow the steps below, and let's calculate the LCM of 36 and 45.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 36 and 45:
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
Prime factors of 45
The prime factors of 45 are 3, 3 and 5. Prime factorization of 45 in exponential form is:
45 = 32x51
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 36 and 45.
The Least Common Multiple of 36 and 45 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 36:
36, 72, 108, 144, 180, 216, 252, 288
Multiples of 45:
45, 90, 135, 180, 225, 270, 315
Therefore,
LCM(36, 45) = 180