How to find the Least Common Multiple of 4 and 14?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 14.
Follow the steps below, and let's calculate the LCM of 4 and 14.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 4 and 14:
Prime factors of 4
The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:
4 = 22
Prime factors of 14
The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:
14 = 21x71
Step 2: Identify the highest power of each prime number from the above boxes:
22, 71
Step 3: Multiply these values together:
22x71=28
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 4 and 14.
The Least Common Multiple of 4 and 14 is 28.
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 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 14:
14, 28, 42, 56, 70
Therefore,
LCM(4, 14) = 28