Least Common Multiple of 2174, 9585

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 2174, 9585 i.e. 20837790 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2174, 9585 is 20837790.

LCM(2174, 9585) = 20837790

LCM of 2174, 9585

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

LCM of:

Least Common Multiple of 2174,9585

Least Common Multiple (LCM) of 2174,9585 is 20837790

Given numbers has no common factors except 1. So, there LCM is their product i.e 20837790

Least Common Multiple of 2174,9585 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 2174,9585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2174,9585) = 1

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

GCF(2174,9585) x common factors =1 x 1 = 1

LCM(2174,9585) = ( 2174 × 9585 ) / 1

LCM(2174,9585) = 20837790 / 1

LCM(2174,9585) = 20837790

∴ Least Common Multiple of 2174,9585 is 20837790

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 2174, 9585

1. What is the LCM of 2174, 9585?

Answer: LCM of 2174, 9585 is 20837790.

2. What are the Factors of 20837790?

Answer: Factors of 20837790 are . There are integers that are factors of 20837790

3. How to Find the LCM of 2174, 9585 ?

Least Common Multiple of 2174, 9585.

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(2174, 9585) = 2 x 3 x 3 x 3 x 5 x 71 x 1087 = 20837790.