How to find the Least Common Multiple of 9 and 22?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 22.
Follow the steps below, and let's calculate the LCM of 9 and 22.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 9 and 22:
Prime factors of 9
The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:
9 = 32
Prime factors of 22
The prime factors of 22 are 2 and 11. Prime factorization of 22 in exponential form is:
22 = 21x111
Step 2: Identify the highest power of each prime number from the above boxes:
32, 21, 111
Step 3: Multiply these values together:
32x21x111=198
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 9 and 22.
The Least Common Multiple of 9 and 22 is 198.
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 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264
Therefore,
LCM(9, 22) = 198