Least Common Multiple of 1000, 1440

Q: How to Find the LCM of 1000, 1440 ?

Least Common Multiple of 1000, 1440 = 36000 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(1000, 1440) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 36000.

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 1000, 1440 i.e. 36000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1000, 1440 is 36000.

LCM(1000, 1440) = 36000

LCM of 1000, 1440

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

Least Common Multiple of 1000, 1440 by common division method
Least Common Multiple of 1000, 1440 with GCF Formula

Least Common Multiple of 1000,1440

Least Common Multiple (LCM) of 1000,1440 is 36000

2	1000, 1440
2	500, 720
2	250, 360
5	125, 180
	25, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 25 x 36 = 36000

Least Common Multiple of 1000,1440 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 1000,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1000,1440) = 40

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

GCF(1000,1440) x common factors =40 x 1 = 40

LCM(1000,1440) = ( 1000 × 1440 ) / 40

LCM(1000,1440) = 1440000 / 40

LCM(1000,1440) = 36000

∴ Least Common Multiple of 1000,1440 is 36000

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 1000, 1440

1. What is the LCM of 1000, 1440?

Answer: LCM of 1000, 1440 is 36000.

2. What are the Factors of 36000?

Answer: Factors of 36000 are . There are integers that are factors of 36000

3. How to Find the LCM of 1000, 1440 ?

Least Common Multiple of 1000, 1440.

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(1000, 1440) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 36000.