Least Common Multiple of 9589 and 9597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9589 and 9597 the smallest integer that is 92025633 that is divisible by both numbers.

Least Common Multiple (LCM) of 9589 and 9597 is 92025633.

LCM(9589,9597) = 92025633

LCM of 9589 and 9597

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

LCM of:
and

Least Common Multiple of 9589 and 9597

LCM of 9589 and 9597 is 92025633

Least common multiple can be found by multiplying the highest exponent prime factors of 9589 and 9597. First we will calculate the prime factors of 9589 and 9597.

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

Prime Factorization of 9597


3 9597
7 3199
457 457
1

Prime factors of 9597 are 3, 7,457. Prime factorization of 9597 in exponential form is:

9597 = 31×71×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 9589 and 9597.

LCM(9589,9597) = 31×71×431×2231×4571
LCM(9589,9597) = 92025633

Factors of 9589

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

1, 43, 223, 9589

Factors of 9597

List of positive integer factors of 9597 that divides 9597 without a remainder.

1, 3, 7, 21, 457, 1371, 3199, 9597

Least Common Multiple of 9589 and 9597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9589 and 9597, than apply into the LCM equation.

GCF(9589,9597) = 1
LCM(9589,9597) = ( 9589 × 9597) / 1
LCM(9589,9597) = 92025633 / 1
LCM(9589,9597) = 92025633

Properties of LCM 9589 and 9597

(i) The LCM of 9597 and 9589 is associative

LCM of 9589 and 9597 = LCM of 9597 and 9589

Related Least Common Multiples of 9589

Related Least Common Multiples of 9597

Frequently Asked Questions on LCM of 9589 and 9597

1. What is the LCM of 9589 and 9597?

Answer: LCM of 9589 and 9597 is 92025633.

2. 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.

3. What are the Factors of 9597?

Answer: Factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597. There are 8 integers that are factors of 9597. The greatest factor of 9597 is 9597.

4. How to Find the LCM of 9589 and 9597?

Answer:

Least Common Multiple of 9589 and 9597 = 92025633

Step 1: Find the prime factorization of 9589

9589 = 43 x 223

Step 2: Find the prime factorization of 9597

9597 = 3 x 7 x 457

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

LCM = 92025633 = 3 x 7 x 43 x 223 x 457

Step 4: Therefore, the least common multiple of 9589 and 9597 is 92025633.