Least Common Multiple of 9587 and 9589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9587 and 9589 the smallest integer that is 91929743 that is divisible by both numbers.

Least Common Multiple (LCM) of 9587 and 9589 is 91929743.

LCM(9587,9589) = 91929743

LCM of 9587 and 9589

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

LCM of:
and

Least Common Multiple of 9587 and 9589

LCM of 9587 and 9589 is 91929743

Least common multiple can be found by multiplying the highest exponent prime factors of 9587 and 9589. First we will calculate the prime factors of 9587 and 9589.

Prime Factorization of 9587


9587 9587
1

Prime factors of 9587 are 9587. Prime factorization of 9587 in exponential form is:

9587 = 95871

Prime Factorization of 9589


43 9589
223 223
1

Prime factors of 9589 are 43,223. Prime factorization of 9589 in exponential form is:

9589 = 431×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 9587 and 9589.

LCM(9587,9589) = 431×2231×95871
LCM(9587,9589) = 91929743

Factors of 9587

List of positive integer factors of 9587 that divides 9587 without a remainder.

1, 9587

Factors of 9589

List of positive integer factors of 9589 that divides 9589 without a remainder.

1, 43, 223, 9589

Least Common Multiple of 9587 and 9589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9587 and 9589, than apply into the LCM equation.

GCF(9587,9589) = 1
LCM(9587,9589) = ( 9587 × 9589) / 1
LCM(9587,9589) = 91929743 / 1
LCM(9587,9589) = 91929743

Properties of LCM 9587 and 9589

(i) The LCM of 9589 and 9587 is associative

LCM of 9587 and 9589 = LCM of 9589 and 9587

Related Least Common Multiples of 9587

Related Least Common Multiples of 9589

Frequently Asked Questions on LCM of 9587 and 9589

1. What is the LCM of 9587 and 9589?

Answer: LCM of 9587 and 9589 is 91929743.

2. What are the Factors of 9587?

Answer: Factors of 9587 are 1, 9587. There are 2 integers that are factors of 9587. The greatest factor of 9587 is 9587.

3. What are the Factors of 9589?

Answer: Factors of 9589 are 1, 43, 223, 9589. There are 4 integers that are factors of 9589. The greatest factor of 9589 is 9589.

4. How to Find the LCM of 9587 and 9589?

Answer:

Least Common Multiple of 9587 and 9589 = 91929743

Step 1: Find the prime factorization of 9587

9587 = 9587

Step 2: Find the prime factorization of 9589

9589 = 43 x 223

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 91929743 = 43 x 223 x 9587

Step 4: Therefore, the least common multiple of 9587 and 9589 is 91929743.