Least Common Multiple of 9579 and 9586

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 9586 the smallest integer that is 91824294 that is divisible by both numbers.

Least Common Multiple (LCM) of 9579 and 9586 is 91824294.

LCM(9579,9586) = 91824294

LCM of 9579 and 9586

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

LCM of:
and

Least Common Multiple of 9579 and 9586

LCM of 9579 and 9586 is 91824294

Least common multiple can be found by multiplying the highest exponent prime factors of 9579 and 9586. First we will calculate the prime factors of 9579 and 9586.

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 9586


2 9586
4793 4793
1

Prime factors of 9586 are 2,4793. Prime factorization of 9586 in exponential form is:

9586 = 21×47931

Now multiplying the highest exponent prime factors to calculate the LCM of 9579 and 9586.

LCM(9579,9586) = 21×31×311×1031×47931
LCM(9579,9586) = 91824294

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 9586

List of positive integer factors of 9586 that divides 9586 without a remainder.

1, 2, 4793, 9586

Least Common Multiple of 9579 and 9586 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 9586, than apply into the LCM equation.

GCF(9579,9586) = 1
LCM(9579,9586) = ( 9579 × 9586) / 1
LCM(9579,9586) = 91824294 / 1
LCM(9579,9586) = 91824294

Properties of LCM 9579 and 9586

(i) The LCM of 9586 and 9579 is associative

LCM of 9579 and 9586 = LCM of 9586 and 9579

Related Least Common Multiples of 9579

Related Least Common Multiples of 9586

Frequently Asked Questions on LCM of 9579 and 9586

1. What is the LCM of 9579 and 9586?

Answer: LCM of 9579 and 9586 is 91824294.

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 9586?

Answer: Factors of 9586 are 1, 2, 4793, 9586. There are 4 integers that are factors of 9586. The greatest factor of 9586 is 9586.

4. How to Find the LCM of 9579 and 9586?

Answer:

Least Common Multiple of 9579 and 9586 = 91824294

Step 1: Find the prime factorization of 9579

9579 = 3 x 31 x 103

Step 2: Find the prime factorization of 9586

9586 = 2 x 4793

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

LCM = 91824294 = 2 x 3 x 31 x 103 x 4793

Step 4: Therefore, the least common multiple of 9579 and 9586 is 91824294.