Least Common Multiple of 4200, 6874

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 4200, 6874 i.e. 2062200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4200, 6874 is 2062200.

LCM(4200, 6874) = 2062200

LCM of 4200, 6874

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

LCM of:

Least Common Multiple of 4200,6874

Least Common Multiple (LCM) of 4200,6874 is 2062200

2 4200, 6874
7 2100, 3437
300, 491

∴ So the LCM of the given numbers is 2 x 7 x 300 x 491 = 2062200

Least Common Multiple of 4200,6874 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 4200,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4200,6874) = 14

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

GCF(4200,6874) x common factors =14 x 1 = 14

LCM(4200,6874) = ( 4200 × 6874 ) / 14

LCM(4200,6874) = 28870800 / 14

LCM(4200,6874) = 2062200

∴ Least Common Multiple of 4200,6874 is 2062200

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 4200, 6874

1. What is the LCM of 4200, 6874?

Answer: LCM of 4200, 6874 is 2062200.

2. What are the Factors of 2062200?

Answer: Factors of 2062200 are . There are integers that are factors of 2062200

3. How to Find the LCM of 4200, 6874 ?

Least Common Multiple of 4200, 6874.

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(4200, 6874) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 491 = 2062200.