Least Common Multiple of 2409, 1971

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 2409, 1971 i.e. 21681 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2409, 1971 is 21681.

LCM(2409, 1971) = 21681

LCM of 2409, 1971

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

LCM of:

Least Common Multiple of 2409,1971

Least Common Multiple (LCM) of 2409,1971 is 21681

3 2409, 1971
73 803, 657
11, 9

∴ So the LCM of the given numbers is 3 x 73 x 11 x 9 = 21681

Least Common Multiple of 2409,1971 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 2409,1971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2409,1971) = 219

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

GCF(2409,1971) x common factors =219 x 1 = 219

LCM(2409,1971) = ( 2409 × 1971 ) / 219

LCM(2409,1971) = 4748139 / 219

LCM(2409,1971) = 21681

∴ Least Common Multiple of 2409,1971 is 21681

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 2409, 1971

1. What is the LCM of 2409, 1971?

Answer: LCM of 2409, 1971 is 21681.

2. What are the Factors of 21681?

Answer: Factors of 21681 are . There are integers that are factors of 21681

3. How to Find the LCM of 2409, 1971 ?

Least Common Multiple of 2409, 1971.

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(2409, 1971) = 3 x 3 x 3 x 11 x 73 = 21681.