Least Common Multiple of 752, 2006

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 752, 2006 i.e. 754256 smallest integer divisible by all numbers.

Least common multiple (LCM) of 752, 2006 is 754256.

LCM(752, 2006) = 754256

LCM of 752, 2006

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

LCM of:

Least Common Multiple of 752,2006

Least Common Multiple (LCM) of 752,2006 is 754256

2 752, 2006
376, 1003

∴ So the LCM of the given numbers is 2 x 376 x 1003 = 754256

Least Common Multiple of 752,2006 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 752,2006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,2006) = 2

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

GCF(752,2006) x common factors =2 x 1 = 2

LCM(752,2006) = ( 752 × 2006 ) / 2

LCM(752,2006) = 1508512 / 2

LCM(752,2006) = 754256

∴ Least Common Multiple of 752,2006 is 754256

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 752, 2006

1. What is the LCM of 752, 2006?

Answer: LCM of 752, 2006 is 754256.

2. What are the Factors of 754256?

Answer: Factors of 754256 are . There are integers that are factors of 754256

3. How to Find the LCM of 752, 2006 ?

Least Common Multiple of 752, 2006.

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(752, 2006) = 2 x 2 x 2 x 2 x 17 x 47 x 59 = 754256.