Least Common Multiple of 8064, 5760

Q: How to Find the LCM of 8064, 5760 ?

Least Common Multiple of 8064, 5760 = 40320 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(8064, 5760) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 40320.

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 8064, 5760 i.e. 40320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 8064, 5760 is 40320.

LCM(8064, 5760) = 40320

LCM of 8064, 5760

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

Least Common Multiple of 8064, 5760 by common division method
Least Common Multiple of 8064, 5760 with GCF Formula

Least Common Multiple of 8064,5760

Least Common Multiple (LCM) of 8064,5760 is 40320

2	8064, 5760
2	4032, 2880
2	2016, 1440
2	1008, 720
2	504, 360
2	252, 180
2	126, 90
3	63, 45
3	21, 15
	7, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 5 = 40320

Least Common Multiple of 8064,5760 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 8064,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8064,5760) = 1152

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

GCF(8064,5760) x common factors =1152 x 1 = 1152

LCM(8064,5760) = ( 8064 × 5760 ) / 1152

LCM(8064,5760) = 46448640 / 1152

LCM(8064,5760) = 40320

∴ Least Common Multiple of 8064,5760 is 40320

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 8064, 5760

1. What is the LCM of 8064, 5760?

Answer: LCM of 8064, 5760 is 40320.

2. What are the Factors of 40320?

Answer: Factors of 40320 are . There are integers that are factors of 40320

3. How to Find the LCM of 8064, 5760 ?

Least Common Multiple of 8064, 5760.

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(8064, 5760) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 40320.