How to find the Least Common Multiple of 5 and 9?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 9.
Follow the steps below, and let's calculate the LCM of 5 and 9.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 5 and 9:
Prime factors of 5
The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:
5 = 51
Prime factors of 9
The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:
9 = 32
Step 2: Identify the highest power of each prime number from the above boxes:
51, 32
Step 3: Multiply these values together:
51x32=45
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 5 and 9.
The Least Common Multiple of 5 and 9 is 45.
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 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72
Therefore,
LCM(5, 9) = 45