Least Common Multiple of 5744, 8292

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 5744, 8292 i.e. 11907312 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5744, 8292 is 11907312.

LCM(5744, 8292) = 11907312

LCM of 5744, 8292

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

LCM of:

Least Common Multiple of 5744,8292

Least Common Multiple (LCM) of 5744,8292 is 11907312

2 5744, 8292
2 2872, 4146
1436, 2073

∴ So the LCM of the given numbers is 2 x 2 x 1436 x 2073 = 11907312

Least Common Multiple of 5744,8292 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 5744,8292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5744,8292) = 4

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

GCF(5744,8292) x common factors =4 x 1 = 4

LCM(5744,8292) = ( 5744 × 8292 ) / 4

LCM(5744,8292) = 47629248 / 4

LCM(5744,8292) = 11907312

∴ Least Common Multiple of 5744,8292 is 11907312

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 5744, 8292

1. What is the LCM of 5744, 8292?

Answer: LCM of 5744, 8292 is 11907312.

2. What are the Factors of 11907312?

Answer: Factors of 11907312 are . There are integers that are factors of 11907312

3. How to Find the LCM of 5744, 8292 ?

Least Common Multiple of 5744, 8292.

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(5744, 8292) = 2 x 2 x 2 x 2 x 3 x 359 x 691 = 11907312.