Least Common Multiple of 9587 and 9591

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 9591 the smallest integer that is 91948917 that is divisible by both numbers.

Least Common Multiple (LCM) of 9587 and 9591 is 91948917.

LCM(9587,9591) = 91948917

LCM of 9587 and 9591

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

LCM of:
and

Least Common Multiple of 9587 and 9591

LCM of 9587 and 9591 is 91948917

Least common multiple can be found by multiplying the highest exponent prime factors of 9587 and 9591. First we will calculate the prime factors of 9587 and 9591.

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 9591


3 9591
23 3197
139 139
1

Prime factors of 9591 are 3, 23,139. Prime factorization of 9591 in exponential form is:

9591 = 31×231×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9587 and 9591.

LCM(9587,9591) = 31×231×1391×95871
LCM(9587,9591) = 91948917

Factors of 9587

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

1, 9587

Factors of 9591

List of positive integer factors of 9591 that divides 9591 without a remainder.

1, 3, 23, 69, 139, 417, 3197, 9591

Least Common Multiple of 9587 and 9591 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 9591, than apply into the LCM equation.

GCF(9587,9591) = 1
LCM(9587,9591) = ( 9587 × 9591) / 1
LCM(9587,9591) = 91948917 / 1
LCM(9587,9591) = 91948917

Properties of LCM 9587 and 9591

(i) The LCM of 9591 and 9587 is associative

LCM of 9587 and 9591 = LCM of 9591 and 9587

Related Least Common Multiples of 9587

Related Least Common Multiples of 9591

Frequently Asked Questions on LCM of 9587 and 9591

1. What is the LCM of 9587 and 9591?

Answer: LCM of 9587 and 9591 is 91948917.

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 9591?

Answer: Factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591. There are 8 integers that are factors of 9591. The greatest factor of 9591 is 9591.

4. How to Find the LCM of 9587 and 9591?

Answer:

Least Common Multiple of 9587 and 9591 = 91948917

Step 1: Find the prime factorization of 9587

9587 = 9587

Step 2: Find the prime factorization of 9591

9591 = 3 x 23 x 139

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

LCM = 91948917 = 3 x 23 x 139 x 9587

Step 4: Therefore, the least common multiple of 9587 and 9591 is 91948917.