Least Common Multiple of 3872, 8742

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 3872, 8742 i.e. 16924512 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3872, 8742 is 16924512.

LCM(3872, 8742) = 16924512

LCM of 3872, 8742

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

LCM of:

Least Common Multiple of 3872,8742

Least Common Multiple (LCM) of 3872,8742 is 16924512

2 3872, 8742
1936, 4371

∴ So the LCM of the given numbers is 2 x 1936 x 4371 = 16924512

Least Common Multiple of 3872,8742 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 3872,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3872,8742) = 2

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

GCF(3872,8742) x common factors =2 x 1 = 2

LCM(3872,8742) = ( 3872 × 8742 ) / 2

LCM(3872,8742) = 33849024 / 2

LCM(3872,8742) = 16924512

∴ Least Common Multiple of 3872,8742 is 16924512

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 3872, 8742

1. What is the LCM of 3872, 8742?

Answer: LCM of 3872, 8742 is 16924512.

2. What are the Factors of 16924512?

Answer: Factors of 16924512 are . There are integers that are factors of 16924512

3. How to Find the LCM of 3872, 8742 ?

Least Common Multiple of 3872, 8742.

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(3872, 8742) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 31 x 47 = 16924512.