Least Common Multiple of 9585 and 9590

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 9590 the smallest integer that is 18384030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9585 and 9590 is 18384030.

LCM(9585,9590) = 18384030

LCM of 9585 and 9590

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

LCM of:
and

Least Common Multiple of 9585 and 9590

LCM of 9585 and 9590 is 18384030

Least common multiple can be found by multiplying the highest exponent prime factors of 9585 and 9590. First we will calculate the prime factors of 9585 and 9590.

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 9590


2 9590
5 4795
7 959
137 137
1

Prime factors of 9590 are 2, 5, 7,137. Prime factorization of 9590 in exponential form is:

9590 = 21×51×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9585 and 9590.

LCM(9585,9590) = 21×33×51×71×711×1371
LCM(9585,9590) = 18384030

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 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590

Least Common Multiple of 9585 and 9590 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 9590, than apply into the LCM equation.

GCF(9585,9590) = 5
LCM(9585,9590) = ( 9585 × 9590) / 5
LCM(9585,9590) = 91920150 / 5
LCM(9585,9590) = 18384030

Properties of LCM 9585 and 9590

(i) The LCM of 9590 and 9585 is associative

LCM of 9585 and 9590 = LCM of 9590 and 9585

Related Least Common Multiples of 9585

Related Least Common Multiples of 9590

Frequently Asked Questions on LCM of 9585 and 9590

1. What is the LCM of 9585 and 9590?

Answer: LCM of 9585 and 9590 is 18384030.

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 9590?

Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.

4. How to Find the LCM of 9585 and 9590?

Answer:

Least Common Multiple of 9585 and 9590 = 18384030

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 9590

9590 = 2 x 5 x 7 x 137

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

LCM = 18384030 = 2 x 3 x 3 x 3 x 5 x 7 x 71 x 137

Step 4: Therefore, the least common multiple of 9585 and 9590 is 18384030.