Least Common Multiple of 1682, 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 1682, 2006 i.e. 1687046 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1682, 2006 is 1687046.

LCM(1682, 2006) = 1687046

LCM of 1682, 2006

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

LCM of:

Least Common Multiple of 1682,2006

Least Common Multiple (LCM) of 1682,2006 is 1687046

2 1682, 2006
841, 1003

∴ So the LCM of the given numbers is 2 x 841 x 1003 = 1687046

Least Common Multiple of 1682,2006 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 1682,2006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1682,2006) = 2

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

GCF(1682,2006) x common factors =2 x 1 = 2

LCM(1682,2006) = ( 1682 × 2006 ) / 2

LCM(1682,2006) = 3374092 / 2

LCM(1682,2006) = 1687046

∴ Least Common Multiple of 1682,2006 is 1687046

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 1682, 2006

1. What is the LCM of 1682, 2006?

Answer: LCM of 1682, 2006 is 1687046.

2. What are the Factors of 1687046?

Answer: Factors of 1687046 are . There are integers that are factors of 1687046

3. How to Find the LCM of 1682, 2006 ?

Least Common Multiple of 1682, 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(1682, 2006) = 2 x 17 x 29 x 29 x 59 = 1687046.