Least Common Multiple of 9600, 5724

Q: How to Find the LCM of 9600, 5724 ?

Least Common Multiple of 9600, 5724 = 4579200 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(9600, 5724) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 53 = 4579200.

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 9600, 5724 i.e. 4579200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 9600, 5724 is 4579200.

LCM(9600, 5724) = 4579200

LCM of 9600, 5724

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

Least Common Multiple of 9600, 5724 by common division method
Least Common Multiple of 9600, 5724 with GCF Formula

Least Common Multiple of 9600,5724

Least Common Multiple (LCM) of 9600,5724 is 4579200

2	9600, 5724
2	4800, 2862
3	2400, 1431
	800, 477

∴ So the LCM of the given numbers is 2 x 2 x 3 x 800 x 477 = 4579200

Least Common Multiple of 9600,5724 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 9600,5724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9600,5724) = 12

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

GCF(9600,5724) x common factors =12 x 1 = 12

LCM(9600,5724) = ( 9600 × 5724 ) / 12

LCM(9600,5724) = 54950400 / 12

LCM(9600,5724) = 4579200

∴ Least Common Multiple of 9600,5724 is 4579200

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 9600, 5724

1. What is the LCM of 9600, 5724?

Answer: LCM of 9600, 5724 is 4579200.

2. What are the Factors of 4579200?

Answer: Factors of 4579200 are . There are integers that are factors of 4579200

3. How to Find the LCM of 9600, 5724 ?

Least Common Multiple of 9600, 5724.

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(9600, 5724) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 53 = 4579200.