Least Common Multiple  of 14 and 23 is 322

How to find the Least Common Multiple of 14 and 23?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 14 and 23.

Follow the steps below, and let's calculate the LCM of 14 and 23.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 14 and 23:

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 23

The prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231


Step 2: Identify the highest power of each prime number from the above boxes:

21, 71, 231


Step 3: Multiply these values together:

21x71x231=322


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 14 and 23.

The Least Common Multiple of 14 and 23 is 322.


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, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364

Multiples of 23:

23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391


Therefore,

LCM(14, 23) = 322