Least Common Multiple of 9580 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 9580 and 9586 the smallest integer that is 45916940 that is divisible by both numbers.

Least Common Multiple (LCM) of 9580 and 9586 is 45916940.

LCM(9580,9586) = 45916940

LCM of 9580 and 9586

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

LCM of:
and

Least Common Multiple of 9580 and 9586

LCM of 9580 and 9586 is 45916940

Least common multiple can be found by multiplying the highest exponent prime factors of 9580 and 9586. First we will calculate the prime factors of 9580 and 9586.

Prime Factorization of 9580


2 9580
2 4790
5 2395
479 479
1

Prime factors of 9580 are 2, 5,479. Prime factorization of 9580 in exponential form is:

9580 = 22×51×4791

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 9580 and 9586.

LCM(9580,9586) = 22×51×4791×47931
LCM(9580,9586) = 45916940

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580

Factors of 9586

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

1, 2, 4793, 9586

Least Common Multiple of 9580 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 9580 and 9586, than apply into the LCM equation.

GCF(9580,9586) = 2
LCM(9580,9586) = ( 9580 × 9586) / 2
LCM(9580,9586) = 91833880 / 2
LCM(9580,9586) = 45916940

Properties of LCM 9580 and 9586

(i) The LCM of 9586 and 9580 is associative

LCM of 9580 and 9586 = LCM of 9586 and 9580

Related Least Common Multiples of 9580

Related Least Common Multiples of 9586

Frequently Asked Questions on LCM of 9580 and 9586

1. What is the LCM of 9580 and 9586?

Answer: LCM of 9580 and 9586 is 45916940.

2. What are the Factors of 9580?

Answer: Factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580. There are 12 integers that are factors of 9580. The greatest factor of 9580 is 9580.

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 9580 and 9586?

Answer:

Least Common Multiple of 9580 and 9586 = 45916940

Step 1: Find the prime factorization of 9580

9580 = 2 x 2 x 5 x 479

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 = 45916940 = 2 x 2 x 5 x 479 x 4793

Step 4: Therefore, the least common multiple of 9580 and 9586 is 45916940.