Least Common Multiple of 9579 and 9585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9579 and 9585 the smallest integer that is 30604905 that is divisible by both numbers.

Least Common Multiple (LCM) of 9579 and 9585 is 30604905.

LCM(9579,9585) = 30604905

LCM of 9579 and 9585

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

LCM of:
and

Least Common Multiple of 9579 and 9585

LCM of 9579 and 9585 is 30604905

Least common multiple can be found by multiplying the highest exponent prime factors of 9579 and 9585. First we will calculate the prime factors of 9579 and 9585.

Prime Factorization of 9579


3 9579
31 3193
103 103
1

Prime factors of 9579 are 3, 31,103. Prime factorization of 9579 in exponential form is:

9579 = 31×311×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9579 and 9585.

LCM(9579,9585) = 33×51×311×711×1031
LCM(9579,9585) = 30604905

Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1, 3, 31, 93, 103, 309, 3193, 9579

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

Least Common Multiple of 9579 and 9585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9579 and 9585, than apply into the LCM equation.

GCF(9579,9585) = 3
LCM(9579,9585) = ( 9579 × 9585) / 3
LCM(9579,9585) = 91814715 / 3
LCM(9579,9585) = 30604905

Properties of LCM 9579 and 9585

(i) The LCM of 9585 and 9579 is associative

LCM of 9579 and 9585 = LCM of 9585 and 9579

Related Least Common Multiples of 9579

Related Least Common Multiples of 9585

Frequently Asked Questions on LCM of 9579 and 9585

1. What is the LCM of 9579 and 9585?

Answer: LCM of 9579 and 9585 is 30604905.

2. What are the Factors of 9579?

Answer: Factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579. There are 8 integers that are factors of 9579. The greatest factor of 9579 is 9579.

3. 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.

4. How to Find the LCM of 9579 and 9585?

Answer:

Least Common Multiple of 9579 and 9585 = 30604905

Step 1: Find the prime factorization of 9579

9579 = 3 x 31 x 103

Step 2: Find the prime factorization of 9585

9585 = 3 x 3 x 3 x 5 x 71

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

LCM = 30604905 = 3 x 3 x 3 x 5 x 31 x 71 x 103

Step 4: Therefore, the least common multiple of 9579 and 9585 is 30604905.