Least Common Multiple of 112, 2696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 112, 2696 i.e. 37744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 112, 2696 is 37744.

LCM(112, 2696) = 37744

LCM of 112, 2696

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 112,2696

Least Common Multiple (LCM) of 112,2696 is 37744

2 112, 2696
2 56, 1348
2 28, 674
14, 337

∴ So the LCM of the given numbers is 2 x 2 x 2 x 14 x 337 = 37744

Least Common Multiple of 112,2696 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 112,2696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,2696) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(112,2696) x common factors =8 x 1 = 8

LCM(112,2696) = ( 112 × 2696 ) / 8

LCM(112,2696) = 301952 / 8

LCM(112,2696) = 37744

∴ Least Common Multiple of 112,2696 is 37744

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 112, 2696

1. What is the LCM of 112, 2696?

Answer: LCM of 112, 2696 is 37744.

2. What are the Factors of 37744?

Answer: Factors of 37744 are . There are integers that are factors of 37744

3. How to Find the LCM of 112, 2696 ?

Least Common Multiple of 112, 2696.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(112, 2696) = 2 x 2 x 2 x 2 x 7 x 337 = 37744.