Least Common Multiple of 576, 588

Q: How to Find the LCM of 576, 588 ?

Least Common Multiple of 576, 588 = 28224 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(576, 588) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 28224.

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 576, 588 i.e. 28224 smallest integer divisible by all numbers.

Least common multiple (LCM) of 576, 588 is 28224.

LCM(576, 588) = 28224

LCM of 576, 588

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

Least Common Multiple of 576, 588 by common division method
Least Common Multiple of 576, 588 with GCF Formula

Least Common Multiple of 576,588

Least Common Multiple (LCM) of 576,588 is 28224

2	576, 588
2	288, 294
3	144, 147
	48, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 48 x 49 = 28224

Least Common Multiple of 576,588 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 576,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,588) = 12

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

GCF(576,588) x common factors =12 x 1 = 12

LCM(576,588) = ( 576 × 588 ) / 12

LCM(576,588) = 338688 / 12

LCM(576,588) = 28224

∴ Least Common Multiple of 576,588 is 28224

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 576, 588

1. What is the LCM of 576, 588?

Answer: LCM of 576, 588 is 28224.

2. What are the Factors of 28224?

Answer: Factors of 28224 are . There are integers that are factors of 28224

3. How to Find the LCM of 576, 588 ?

Least Common Multiple of 576, 588.

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(576, 588) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 28224.