Least Common Multiple of 2560, 7296

Q: How to Find the LCM of 2560, 7296 ?

Least Common Multiple of 2560, 7296 = 145920 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(2560, 7296) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 = 145920.

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 2560, 7296 i.e. 145920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2560, 7296 is 145920.

LCM(2560, 7296) = 145920

LCM of 2560, 7296

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

Least Common Multiple of 2560, 7296 by common division method
Least Common Multiple of 2560, 7296 with GCF Formula

Least Common Multiple of 2560,7296

Least Common Multiple (LCM) of 2560,7296 is 145920

2	2560, 7296
2	1280, 3648
2	640, 1824
2	320, 912
2	160, 456
2	80, 228
2	40, 114
	20, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 20 x 57 = 145920

Least Common Multiple of 2560,7296 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 2560,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2560,7296) = 128

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

GCF(2560,7296) x common factors =128 x 1 = 128

LCM(2560,7296) = ( 2560 × 7296 ) / 128

LCM(2560,7296) = 18677760 / 128

LCM(2560,7296) = 145920

∴ Least Common Multiple of 2560,7296 is 145920

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 2560, 7296

1. What is the LCM of 2560, 7296?

Answer: LCM of 2560, 7296 is 145920.

2. What are the Factors of 145920?

Answer: Factors of 145920 are . There are integers that are factors of 145920

3. How to Find the LCM of 2560, 7296 ?

Least Common Multiple of 2560, 7296.

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(2560, 7296) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 = 145920.