Least Common Multiple of 1728, 6804

Q: How to Find the LCM of 1728, 6804 ?

Least Common Multiple of 1728, 6804 = 108864 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(1728, 6804) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 = 108864.

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 1728, 6804 i.e. 108864 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1728, 6804 is 108864.

LCM(1728, 6804) = 108864

LCM of 1728, 6804

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

Least Common Multiple of 1728, 6804 by common division method
Least Common Multiple of 1728, 6804 with GCF Formula

Least Common Multiple of 1728,6804

Least Common Multiple (LCM) of 1728,6804 is 108864

2	1728, 6804
2	864, 3402
3	432, 1701
3	144, 567
3	48, 189
	16, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 16 x 63 = 108864

Least Common Multiple of 1728,6804 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 1728,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1728,6804) = 108

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

GCF(1728,6804) x common factors =108 x 1 = 108

LCM(1728,6804) = ( 1728 × 6804 ) / 108

LCM(1728,6804) = 11757312 / 108

LCM(1728,6804) = 108864

∴ Least Common Multiple of 1728,6804 is 108864

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 1728, 6804

1. What is the LCM of 1728, 6804?

Answer: LCM of 1728, 6804 is 108864.

2. What are the Factors of 108864?

Answer: Factors of 108864 are . There are integers that are factors of 108864

3. How to Find the LCM of 1728, 6804 ?

Least Common Multiple of 1728, 6804.

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(1728, 6804) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 = 108864.