How to find the Least Common Multiple of 35 and 45?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 35 and 45.
Follow the steps below, and let's calculate the LCM of 35 and 45.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 35 and 45:
Prime factors of 35
The prime factors of 35 are 5 and 7. Prime factorization of 35 in exponential form is:
35 = 51x71
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:
51, 71, 32
Step 3: Multiply these values together:
51x71x32=315
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 35 and 45.
The Least Common Multiple of 35 and 45 is 315.
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 35:
35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420
Multiples of 45:
45, 90, 135, 180, 225, 270, 315, 360, 405, 450
Therefore,
LCM(35, 45) = 315