Least Common Multiple of 9585 and 9592

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 9592 the smallest integer that is 91939320 that is divisible by both numbers.

Least Common Multiple (LCM) of 9585 and 9592 is 91939320.

LCM(9585,9592) = 91939320

LCM of 9585 and 9592

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

LCM of:
and

Least Common Multiple of 9585 and 9592

LCM of 9585 and 9592 is 91939320

Least common multiple can be found by multiplying the highest exponent prime factors of 9585 and 9592. First we will calculate the prime factors of 9585 and 9592.

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 9592


2 9592
2 4796
2 2398
11 1199
109 109
1

Prime factors of 9592 are 2, 11,109. Prime factorization of 9592 in exponential form is:

9592 = 23×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9585 and 9592.

LCM(9585,9592) = 23×33×51×111×711×1091
LCM(9585,9592) = 91939320

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 9592

List of positive integer factors of 9592 that divides 9592 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592

Least Common Multiple of 9585 and 9592 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 9592, than apply into the LCM equation.

GCF(9585,9592) = 1
LCM(9585,9592) = ( 9585 × 9592) / 1
LCM(9585,9592) = 91939320 / 1
LCM(9585,9592) = 91939320

Properties of LCM 9585 and 9592

(i) The LCM of 9592 and 9585 is associative

LCM of 9585 and 9592 = LCM of 9592 and 9585

Related Least Common Multiples of 9585

Related Least Common Multiples of 9592

Frequently Asked Questions on LCM of 9585 and 9592

1. What is the LCM of 9585 and 9592?

Answer: LCM of 9585 and 9592 is 91939320.

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 9592?

Answer: Factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592. There are 16 integers that are factors of 9592. The greatest factor of 9592 is 9592.

4. How to Find the LCM of 9585 and 9592?

Answer:

Least Common Multiple of 9585 and 9592 = 91939320

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 9592

9592 = 2 x 2 x 2 x 11 x 109

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

LCM = 91939320 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 71 x 109

Step 4: Therefore, the least common multiple of 9585 and 9592 is 91939320.