Least Common Multiple of 8978, 5744

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 8978, 5744 i.e. 25784816 smallest integer divisible by all numbers.

Least common multiple (LCM) of 8978, 5744 is 25784816.

LCM(8978, 5744) = 25784816

LCM of 8978, 5744

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

LCM of:

Least Common Multiple of 8978,5744

Least Common Multiple (LCM) of 8978,5744 is 25784816

2 8978, 5744
4489, 2872

∴ So the LCM of the given numbers is 2 x 4489 x 2872 = 25784816

Least Common Multiple of 8978,5744 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 8978,5744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8978,5744) = 2

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

GCF(8978,5744) x common factors =2 x 1 = 2

LCM(8978,5744) = ( 8978 × 5744 ) / 2

LCM(8978,5744) = 51569632 / 2

LCM(8978,5744) = 25784816

∴ Least Common Multiple of 8978,5744 is 25784816

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 8978, 5744

1. What is the LCM of 8978, 5744?

Answer: LCM of 8978, 5744 is 25784816.

2. What are the Factors of 25784816?

Answer: Factors of 25784816 are . There are integers that are factors of 25784816

3. How to Find the LCM of 8978, 5744 ?

Least Common Multiple of 8978, 5744.

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(8978, 5744) = 2 x 2 x 2 x 2 x 67 x 67 x 359 = 25784816.