Least Common Multiple of 3645, 8640

Q: How to Find the LCM of 3645, 8640 ?

Least Common Multiple of 3645, 8640 = 233280 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(3645, 8640) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 = 233280.

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 3645, 8640 i.e. 233280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3645, 8640 is 233280.

LCM(3645, 8640) = 233280

LCM of 3645, 8640

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

Least Common Multiple of 3645, 8640 by common division method
Least Common Multiple of 3645, 8640 with GCF Formula

Least Common Multiple of 3645,8640

Least Common Multiple (LCM) of 3645,8640 is 233280

3	3645, 8640
3	1215, 2880
3	405, 960
5	135, 320
	27, 64

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 27 x 64 = 233280

Least Common Multiple of 3645,8640 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 3645,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3645,8640) = 135

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

GCF(3645,8640) x common factors =135 x 1 = 135

LCM(3645,8640) = ( 3645 × 8640 ) / 135

LCM(3645,8640) = 31492800 / 135

LCM(3645,8640) = 233280

∴ Least Common Multiple of 3645,8640 is 233280

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 3645, 8640

1. What is the LCM of 3645, 8640?

Answer: LCM of 3645, 8640 is 233280.

2. What are the Factors of 233280?

Answer: Factors of 233280 are . There are integers that are factors of 233280

3. How to Find the LCM of 3645, 8640 ?

Least Common Multiple of 3645, 8640.

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(3645, 8640) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 = 233280.