How to find the Least Common Multiple of 3 and 14?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 3 and 14.
Follow the steps below, and let's calculate the LCM of 3 and 14.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 3 and 14:
Prime factors of 3
The prime factors of 3 are 3. Prime factorization of 3 in exponential form is:
3 = 31
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:
31, 21, 71
Step 3: Multiply these values together:
31x21x71=42
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 3 and 14.
The Least Common Multiple of 3 and 14 is 42.
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 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51
Multiples of 14:
14, 28, 42, 56, 70, 84
Therefore,
LCM(3, 14) = 42