Least Common Multiple of 3584, 9216

Q: How to Find the LCM of 3584, 9216 ?

Least Common Multiple of 3584, 9216 = 64512 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(3584, 9216) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 64512.

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 3584, 9216 i.e. 64512 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3584, 9216 is 64512.

LCM(3584, 9216) = 64512

LCM of 3584, 9216

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

Least Common Multiple of 3584, 9216 by common division method
Least Common Multiple of 3584, 9216 with GCF Formula

Least Common Multiple of 3584,9216

Least Common Multiple (LCM) of 3584,9216 is 64512

2	3584, 9216
2	1792, 4608
2	896, 2304
2	448, 1152
2	224, 576
2	112, 288
2	56, 144
2	28, 72
2	14, 36
	7, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 18 = 64512

Least Common Multiple of 3584,9216 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 3584,9216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3584,9216) = 512

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

GCF(3584,9216) x common factors =512 x 1 = 512

LCM(3584,9216) = ( 3584 × 9216 ) / 512

LCM(3584,9216) = 33030144 / 512

LCM(3584,9216) = 64512

∴ Least Common Multiple of 3584,9216 is 64512

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 3584, 9216

1. What is the LCM of 3584, 9216?

Answer: LCM of 3584, 9216 is 64512.

2. What are the Factors of 64512?

Answer: Factors of 64512 are . There are integers that are factors of 64512

3. How to Find the LCM of 3584, 9216 ?

Least Common Multiple of 3584, 9216.

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(3584, 9216) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 64512.