Least Common Multiple of 3584, 5488

Q: How to Find the LCM of 3584, 5488 ?

Least Common Multiple of 3584, 5488 = 175616 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, 5488) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7 = 175616.

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, 5488 i.e. 175616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3584, 5488 is 175616.

LCM(3584, 5488) = 175616

LCM of 3584, 5488

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

Least Common Multiple of 3584, 5488 by common division method
Least Common Multiple of 3584, 5488 with GCF Formula

Least Common Multiple of 3584,5488

Least Common Multiple (LCM) of 3584,5488 is 175616

2	3584, 5488
2	1792, 2744
2	896, 1372
2	448, 686
7	224, 343
	32, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 32 x 49 = 175616

Least Common Multiple of 3584,5488 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 3584,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3584,5488) = 112

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

GCF(3584,5488) x common factors =112 x 1 = 112

LCM(3584,5488) = ( 3584 × 5488 ) / 112

LCM(3584,5488) = 19668992 / 112

LCM(3584,5488) = 175616

∴ Least Common Multiple of 3584,5488 is 175616

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, 5488

1. What is the LCM of 3584, 5488?

Answer: LCM of 3584, 5488 is 175616.

2. What are the Factors of 175616?

Answer: Factors of 175616 are . There are integers that are factors of 175616

3. How to Find the LCM of 3584, 5488 ?

Least Common Multiple of 3584, 5488.

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, 5488) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7 = 175616.