How to find the Least Common Multiple of 10 and 22?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 10 and 22.
Follow the steps below, and let's calculate the LCM of 10 and 22.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 10 and 22:
Prime factors of 10
The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:
10 = 21x51
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, 51, 111
Step 3: Multiply these values together:
21x51x111=110
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 10 and 22.
The Least Common Multiple of 10 and 22 is 110.
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 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176
Therefore,
LCM(10, 22) = 110