How to find the Least Common Multiple of 14 and 26?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 14 and 26.
Follow the steps below, and let's calculate the LCM of 14 and 26.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 14 and 26:
Prime factors of 14
The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:
14 = 21x71
Prime factors of 26
The prime factors of 26 are 2 and 13. Prime factorization of 26 in exponential form is:
26 = 21x131
Step 2: Identify the highest power of each prime number from the above boxes:
21, 71, 131
Step 3: Multiply these values together:
21x71x131=182
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 14 and 26.
The Least Common Multiple of 14 and 26 is 182.
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 14:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224
Multiples of 26:
26, 52, 78, 104, 130, 156, 182, 208, 234, 260
Therefore,
LCM(14, 26) = 182