Least Common Multiple of 1600, 2560

Q: How to Find the LCM of 1600, 2560 ?

Least Common Multiple of 1600, 2560 = 12800 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(1600, 2560) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 12800.

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 1600, 2560 i.e. 12800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1600, 2560 is 12800.

LCM(1600, 2560) = 12800

LCM of 1600, 2560

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

Least Common Multiple of 1600, 2560 by common division method
Least Common Multiple of 1600, 2560 with GCF Formula

Least Common Multiple of 1600,2560

Least Common Multiple (LCM) of 1600,2560 is 12800

2	1600, 2560
2	800, 1280
2	400, 640
2	200, 320
2	100, 160
2	50, 80
5	25, 40
	5, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 8 = 12800

Least Common Multiple of 1600,2560 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 1600,2560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1600,2560) = 320

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

GCF(1600,2560) x common factors =320 x 1 = 320

LCM(1600,2560) = ( 1600 × 2560 ) / 320

LCM(1600,2560) = 4096000 / 320

LCM(1600,2560) = 12800

∴ Least Common Multiple of 1600,2560 is 12800

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 1600, 2560

1. What is the LCM of 1600, 2560?

Answer: LCM of 1600, 2560 is 12800.

2. What are the Factors of 12800?

Answer: Factors of 12800 are . There are integers that are factors of 12800

3. How to Find the LCM of 1600, 2560 ?

Least Common Multiple of 1600, 2560.

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(1600, 2560) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 12800.