Least Common Multiple of 9580 and 9584

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 9584 the smallest integer that is 22953680 that is divisible by both numbers.

Least Common Multiple (LCM) of 9580 and 9584 is 22953680.

LCM(9580,9584) = 22953680

LCM of 9580 and 9584

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

LCM of:
and

Least Common Multiple of 9580 and 9584

LCM of 9580 and 9584 is 22953680

Least common multiple can be found by multiplying the highest exponent prime factors of 9580 and 9584. First we will calculate the prime factors of 9580 and 9584.

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 9584


2 9584
2 4792
2 2396
2 1198
599 599
1

Prime factors of 9584 are 2,599. Prime factorization of 9584 in exponential form is:

9584 = 24×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 9580 and 9584.

LCM(9580,9584) = 24×51×4791×5991
LCM(9580,9584) = 22953680

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 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584

Least Common Multiple of 9580 and 9584 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 9584, than apply into the LCM equation.

GCF(9580,9584) = 4
LCM(9580,9584) = ( 9580 × 9584) / 4
LCM(9580,9584) = 91814720 / 4
LCM(9580,9584) = 22953680

Properties of LCM 9580 and 9584

(i) The LCM of 9584 and 9580 is associative

LCM of 9580 and 9584 = LCM of 9584 and 9580

Related Least Common Multiples of 9580

Related Least Common Multiples of 9584

Frequently Asked Questions on LCM of 9580 and 9584

1. What is the LCM of 9580 and 9584?

Answer: LCM of 9580 and 9584 is 22953680.

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 9584?

Answer: Factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584. There are 10 integers that are factors of 9584. The greatest factor of 9584 is 9584.

4. How to Find the LCM of 9580 and 9584?

Answer:

Least Common Multiple of 9580 and 9584 = 22953680

Step 1: Find the prime factorization of 9580

9580 = 2 x 2 x 5 x 479

Step 2: Find the prime factorization of 9584

9584 = 2 x 2 x 2 x 2 x 599

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

LCM = 22953680 = 2 x 2 x 2 x 2 x 5 x 479 x 599

Step 4: Therefore, the least common multiple of 9580 and 9584 is 22953680.