Least Common Multiple of 8640, 8100

Q: How to Find the LCM of 8640, 8100 ?

Least Common Multiple of 8640, 8100 = 129600 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(8640, 8100) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 = 129600.

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 8640, 8100 i.e. 129600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 8640, 8100 is 129600.

LCM(8640, 8100) = 129600

LCM of 8640, 8100

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

Least Common Multiple of 8640, 8100 by common division method
Least Common Multiple of 8640, 8100 with GCF Formula

Least Common Multiple of 8640,8100

Least Common Multiple (LCM) of 8640,8100 is 129600

2	8640, 8100
2	4320, 4050
3	2160, 2025
3	720, 675
3	240, 225
5	80, 75
	16, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 16 x 15 = 129600

Least Common Multiple of 8640,8100 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 8640,8100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,8100) = 540

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

GCF(8640,8100) x common factors =540 x 1 = 540

LCM(8640,8100) = ( 8640 × 8100 ) / 540

LCM(8640,8100) = 69984000 / 540

LCM(8640,8100) = 129600

∴ Least Common Multiple of 8640,8100 is 129600

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 8640, 8100

1. What is the LCM of 8640, 8100?

Answer: LCM of 8640, 8100 is 129600.

2. What are the Factors of 129600?

Answer: Factors of 129600 are . There are integers that are factors of 129600

3. How to Find the LCM of 8640, 8100 ?

Least Common Multiple of 8640, 8100.

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(8640, 8100) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 = 129600.