Least Common Multiple  of 14 and 25 is 350

How to find the Least Common Multiple of 14 and 25?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 14 and 25.

Follow the steps below, and let's calculate the LCM of 14 and 25.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 14 and 25:

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 25

The prime factors of 25 are 5 and 5. Prime factorization of 25 in exponential form is:

25 = 52


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

21, 71, 52


Step 3: Multiply these values together:

21x71x52=350


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 14 and 25.

The Least Common Multiple of 14 and 25 is 350.


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, 378, 392

Multiples of 25:

25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425


Therefore,

LCM(14, 25) = 350