How to find the Least Common Multiple of 18 and 22?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 18 and 22.
Follow the steps below, and let's calculate the LCM of 18 and 22.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 18 and 22:
Prime factors of 18
The prime factors of 18 are 2, 3 and 3. Prime factorization of 18 in exponential form is:
18 = 21x32
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:
21, 32, 111
Step 3: Multiply these values together:
21x32x111=198
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 18 and 22.
The Least Common Multiple of 18 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 18:
18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264
Therefore,
LCM(18, 22) = 198