Least Common Multiple of 2304, 8704

Q: How to Find the LCM of 2304, 8704 ?

Least Common Multiple of 2304, 8704 = 78336 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(2304, 8704) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 = 78336.

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 2304, 8704 i.e. 78336 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2304, 8704 is 78336.

LCM(2304, 8704) = 78336

LCM of 2304, 8704

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

Least Common Multiple of 2304, 8704 by common division method
Least Common Multiple of 2304, 8704 with GCF Formula

Least Common Multiple of 2304,8704

Least Common Multiple (LCM) of 2304,8704 is 78336

2	2304, 8704
2	1152, 4352
2	576, 2176
2	288, 1088
2	144, 544
2	72, 272
2	36, 136
2	18, 68
	9, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 9 x 34 = 78336

Least Common Multiple of 2304,8704 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 2304,8704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2304,8704) = 256

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

GCF(2304,8704) x common factors =256 x 1 = 256

LCM(2304,8704) = ( 2304 × 8704 ) / 256

LCM(2304,8704) = 20054016 / 256

LCM(2304,8704) = 78336

∴ Least Common Multiple of 2304,8704 is 78336

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 2304, 8704

1. What is the LCM of 2304, 8704?

Answer: LCM of 2304, 8704 is 78336.

2. What are the Factors of 78336?

Answer: Factors of 78336 are . There are integers that are factors of 78336

3. How to Find the LCM of 2304, 8704 ?

Least Common Multiple of 2304, 8704.

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(2304, 8704) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 = 78336.