Least Common Multiple of 1989, 9724

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 1989, 9724 i.e. 87516 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1989, 9724 is 87516.

LCM(1989, 9724) = 87516

LCM of 1989, 9724

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

LCM of:

Least Common Multiple of 1989,9724

Least Common Multiple (LCM) of 1989,9724 is 87516

13 1989, 9724
17 153, 748
9, 44

∴ So the LCM of the given numbers is 13 x 17 x 9 x 44 = 87516

Least Common Multiple of 1989,9724 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 1989,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1989,9724) = 221

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

GCF(1989,9724) x common factors =221 x 1 = 221

LCM(1989,9724) = ( 1989 × 9724 ) / 221

LCM(1989,9724) = 19341036 / 221

LCM(1989,9724) = 87516

∴ Least Common Multiple of 1989,9724 is 87516

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 1989, 9724

1. What is the LCM of 1989, 9724?

Answer: LCM of 1989, 9724 is 87516.

2. What are the Factors of 87516?

Answer: Factors of 87516 are . There are integers that are factors of 87516

3. How to Find the LCM of 1989, 9724 ?

Least Common Multiple of 1989, 9724.

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(1989, 9724) = 2 x 2 x 3 x 3 x 11 x 13 x 17 = 87516.