How to find the Least Common Multiple of 5 and 14?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 14.
Follow the steps below, and let's calculate the LCM of 5 and 14.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 5 and 14:
Prime factors of 5
The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:
5 = 51
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:
51, 21, 71
Step 3: Multiply these values together:
51x21x71=70
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 5 and 14.
The Least Common Multiple of 5 and 14 is 70.
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, 65, 70, 75, 80, 85
Multiples of 14:
14, 28, 42, 56, 70, 84, 98, 112
Therefore,
LCM(5, 14) = 70