Least Common Multiple of 9900, 3584

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 9900, 3584 i.e. 8870400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 9900, 3584 is 8870400.

LCM(9900, 3584) = 8870400

LCM of 9900, 3584

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

LCM of:

Least Common Multiple of 9900,3584

Least Common Multiple (LCM) of 9900,3584 is 8870400

2 9900, 3584
2 4950, 1792
2475, 896

∴ So the LCM of the given numbers is 2 x 2 x 2475 x 896 = 8870400

Least Common Multiple of 9900,3584 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 9900,3584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9900,3584) = 4

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

GCF(9900,3584) x common factors =4 x 1 = 4

LCM(9900,3584) = ( 9900 × 3584 ) / 4

LCM(9900,3584) = 35481600 / 4

LCM(9900,3584) = 8870400

∴ Least Common Multiple of 9900,3584 is 8870400

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 9900, 3584

1. What is the LCM of 9900, 3584?

Answer: LCM of 9900, 3584 is 8870400.

2. What are the Factors of 8870400?

Answer: Factors of 8870400 are . There are integers that are factors of 8870400

3. How to Find the LCM of 9900, 3584 ?

Least Common Multiple of 9900, 3584.

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(9900, 3584) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 = 8870400.