Least Common Multiple of 9585 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 9585 and 9591 the smallest integer that is 30643245 that is divisible by both numbers.

Least Common Multiple (LCM) of 9585 and 9591 is 30643245.

LCM(9585,9591) = 30643245

LCM of 9585 and 9591

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

LCM of:
and

Least Common Multiple of 9585 and 9591

LCM of 9585 and 9591 is 30643245

Least common multiple can be found by multiplying the highest exponent prime factors of 9585 and 9591. First we will calculate the prime factors of 9585 and 9591.

Prime Factorization of 9585


3 9585
3 3195
3 1065
5 355
71 71
1

Prime factors of 9585 are 3, 5,71. Prime factorization of 9585 in exponential form is:

9585 = 33×51×711

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 9585 and 9591.

LCM(9585,9591) = 33×51×231×711×1391
LCM(9585,9591) = 30643245

Factors of 9585

List of positive integer factors of 9585 that divides 9585 without a remainder.

1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585

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 9585 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 9585 and 9591, than apply into the LCM equation.

GCF(9585,9591) = 3
LCM(9585,9591) = ( 9585 × 9591) / 3
LCM(9585,9591) = 91929735 / 3
LCM(9585,9591) = 30643245

Properties of LCM 9585 and 9591

(i) The LCM of 9591 and 9585 is associative

LCM of 9585 and 9591 = LCM of 9591 and 9585

Related Least Common Multiples of 9585

Related Least Common Multiples of 9591

Frequently Asked Questions on LCM of 9585 and 9591

1. What is the LCM of 9585 and 9591?

Answer: LCM of 9585 and 9591 is 30643245.

2. What are the Factors of 9585?

Answer: Factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585. There are 16 integers that are factors of 9585. The greatest factor of 9585 is 9585.

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 9585 and 9591?

Answer:

Least Common Multiple of 9585 and 9591 = 30643245

Step 1: Find the prime factorization of 9585

9585 = 3 x 3 x 3 x 5 x 71

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 = 30643245 = 3 x 3 x 3 x 5 x 23 x 71 x 139

Step 4: Therefore, the least common multiple of 9585 and 9591 is 30643245.