# LCM of 14 and 16 Calculator

LCM Calculator computes the LCM of two numbers i.e. 14 and 16 and gives the Least Common Multiple 112 the smallest integer that is divisible by both the numbers.

Least Common Multiple of 14 and 16 is 112

LCM(14, 16) = 112

Ex: number 1 - 1500 and number 2 - 20.

LCM of
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## Finding LCM of two numbers 14 and 16 using Prime Factorization Method

Check out the procedure to find the Least Common Multiple of 14 and 16 using the Prime Factorization Method. They are as follows

Step 1: Firstly, find the Prime Factorization of given numbers 14, 16

Prime Factorization of 14 is as such

 2 14 7 7 1

Prime factors of 14 are 2,7. Prime factorization of 14 in exponent form is:

14 = 21×71

Prime Factorization of 16 is as follows

 2 16 2 8 2 4 2 2 1

Prime factors of 16 are 2. Prime factorization of 16 in exponent form is:

16 = 24

Step 2: Multiply together each of the Prime Numbers with the highest power to obtain the Least Common Multiple

On doing so, you will get the resultant equation as 24×71= 112

Therefore, LCM of two numbers 14 and 16 is 112

LCM(14,16) = 112

### Finding LCM of two numbers 14 and 16 using GCF Formula

Go through the simple and easy steps listed to know the Least Common Multiple of 14, 16 using the GCF Formula

Step 1: Find the Greatest Common Factor of 14, 16 initially.

Greatest Common Factor is the largest integer by which both the numbers can be divided. The GCF of 14, 16 is 2.

Simply use the GCF obtained in the formula to find the Least Common Multiple i.e. LCM(a,b) =a*b/GCF(a,b)

Substitute the inputs in the formula and you will get as under

LCM(14,16)= 14*16/GCF(14, 16)

= 14*16/2

= 112

Thus, LCM(14,16) using the GCF Formula is 112

### FAQs on LCM of two numbers 14, 16

1. What is the LCM of two numbers 14, 16?

LCM of two numbers 14, 16 is 112

2. How to find LCM of two numbers 14, 16 easily?

To find the LCM of two numbers 14, 16 take the help of LCM Calculator and get the result in a fraction of second.

3. Where do I get a detailed Procedure explaining the LCM of numbers 14, 16?

You can find a detailed Procedure explaining the LCM of numbers 14, 16 on our page.