Least Common Multiple of 4404, 5664

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 4404, 5664 i.e. 2078688 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4404, 5664 is 2078688.

LCM(4404, 5664) = 2078688

LCM of 4404, 5664

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

LCM of:

Least Common Multiple of 4404,5664

Least Common Multiple (LCM) of 4404,5664 is 2078688

2 4404, 5664
2 2202, 2832
3 1101, 1416
367, 472

∴ So the LCM of the given numbers is 2 x 2 x 3 x 367 x 472 = 2078688

Least Common Multiple of 4404,5664 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 4404,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4404,5664) = 12

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

GCF(4404,5664) x common factors =12 x 1 = 12

LCM(4404,5664) = ( 4404 × 5664 ) / 12

LCM(4404,5664) = 24944256 / 12

LCM(4404,5664) = 2078688

∴ Least Common Multiple of 4404,5664 is 2078688

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 4404, 5664

1. What is the LCM of 4404, 5664?

Answer: LCM of 4404, 5664 is 2078688.

2. What are the Factors of 2078688?

Answer: Factors of 2078688 are . There are integers that are factors of 2078688

3. How to Find the LCM of 4404, 5664 ?

Least Common Multiple of 4404, 5664.

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(4404, 5664) = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 367 = 2078688.