Least Common Multiple of 9588 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 9588 and 9591 the smallest integer that is 30652836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9588 and 9591 is 30652836.

LCM(9588,9591) = 30652836

LCM of 9588 and 9591

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

LCM of:
and

Least Common Multiple of 9588 and 9591

LCM of 9588 and 9591 is 30652836

Least common multiple can be found by multiplying the highest exponent prime factors of 9588 and 9591. First we will calculate the prime factors of 9588 and 9591.

Prime Factorization of 9588


2 9588
2 4794
3 2397
17 799
47 47
1

Prime factors of 9588 are 2, 3, 17,47. Prime factorization of 9588 in exponential form is:

9588 = 22×31×171×471

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 9588 and 9591.

LCM(9588,9591) = 22×31×171×231×471×1391
LCM(9588,9591) = 30652836

Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588

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 9588 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 9588 and 9591, than apply into the LCM equation.

GCF(9588,9591) = 3
LCM(9588,9591) = ( 9588 × 9591) / 3
LCM(9588,9591) = 91958508 / 3
LCM(9588,9591) = 30652836

Properties of LCM 9588 and 9591

(i) The LCM of 9591 and 9588 is associative

LCM of 9588 and 9591 = LCM of 9591 and 9588

Related Least Common Multiples of 9588

Related Least Common Multiples of 9591

Frequently Asked Questions on LCM of 9588 and 9591

1. What is the LCM of 9588 and 9591?

Answer: LCM of 9588 and 9591 is 30652836.

2. What are the Factors of 9588?

Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.

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 9588 and 9591?

Answer:

Least Common Multiple of 9588 and 9591 = 30652836

Step 1: Find the prime factorization of 9588

9588 = 2 x 2 x 3 x 17 x 47

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 = 30652836 = 2 x 2 x 3 x 17 x 23 x 47 x 139

Step 4: Therefore, the least common multiple of 9588 and 9591 is 30652836.