Least Common Multiple of 586, 1472

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 586, 1472 i.e. 431296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 586, 1472 is 431296.

LCM(586, 1472) = 431296

LCM of 586, 1472

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

LCM of:

Least Common Multiple of 586,1472

Least Common Multiple (LCM) of 586,1472 is 431296

2 586, 1472
293, 736

∴ So the LCM of the given numbers is 2 x 293 x 736 = 431296

Least Common Multiple of 586,1472 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 586,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,1472) = 2

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

GCF(586,1472) x common factors =2 x 1 = 2

LCM(586,1472) = ( 586 × 1472 ) / 2

LCM(586,1472) = 862592 / 2

LCM(586,1472) = 431296

∴ Least Common Multiple of 586,1472 is 431296

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 586, 1472

1. What is the LCM of 586, 1472?

Answer: LCM of 586, 1472 is 431296.

2. What are the Factors of 431296?

Answer: Factors of 431296 are . There are integers that are factors of 431296

3. How to Find the LCM of 586, 1472 ?

Least Common Multiple of 586, 1472.

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(586, 1472) = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 293 = 431296.