Least Common Multiple of 2004, 6249

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 2004, 6249 i.e. 4174332 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2004, 6249 is 4174332.

LCM(2004, 6249) = 4174332

LCM of 2004, 6249

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

LCM of:

Least Common Multiple of 2004,6249

Least Common Multiple (LCM) of 2004,6249 is 4174332

3 2004, 6249
668, 2083

∴ So the LCM of the given numbers is 3 x 668 x 2083 = 4174332

Least Common Multiple of 2004,6249 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 2004,6249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2004,6249) = 3

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

GCF(2004,6249) x common factors =3 x 1 = 3

LCM(2004,6249) = ( 2004 × 6249 ) / 3

LCM(2004,6249) = 12522996 / 3

LCM(2004,6249) = 4174332

∴ Least Common Multiple of 2004,6249 is 4174332

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 2004, 6249

1. What is the LCM of 2004, 6249?

Answer: LCM of 2004, 6249 is 4174332.

2. What are the Factors of 4174332?

Answer: Factors of 4174332 are . There are integers that are factors of 4174332

3. How to Find the LCM of 2004, 6249 ?

Least Common Multiple of 2004, 6249.

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(2004, 6249) = 2 x 2 x 3 x 167 x 2083 = 4174332.