Least Common Multiple of 9004, 6624

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 9004, 6624 i.e. 14910624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 9004, 6624 is 14910624.

LCM(9004, 6624) = 14910624

LCM of 9004, 6624

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

LCM of:

Least Common Multiple of 9004,6624

Least Common Multiple (LCM) of 9004,6624 is 14910624

2 9004, 6624
2 4502, 3312
2251, 1656

∴ So the LCM of the given numbers is 2 x 2 x 2251 x 1656 = 14910624

Least Common Multiple of 9004,6624 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 9004,6624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9004,6624) = 4

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

GCF(9004,6624) x common factors =4 x 1 = 4

LCM(9004,6624) = ( 9004 × 6624 ) / 4

LCM(9004,6624) = 59642496 / 4

LCM(9004,6624) = 14910624

∴ Least Common Multiple of 9004,6624 is 14910624

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 9004, 6624

1. What is the LCM of 9004, 6624?

Answer: LCM of 9004, 6624 is 14910624.

2. What are the Factors of 14910624?

Answer: Factors of 14910624 are . There are integers that are factors of 14910624

3. How to Find the LCM of 9004, 6624 ?

Least Common Multiple of 9004, 6624.

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(9004, 6624) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 2251 = 14910624.