Least Common Multiple of 9580 and 9588

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 9588 the smallest integer that is 22963260 that is divisible by both numbers.

Least Common Multiple (LCM) of 9580 and 9588 is 22963260.

LCM(9580,9588) = 22963260

LCM of 9580 and 9588

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

LCM of:
and

Least Common Multiple of 9580 and 9588

LCM of 9580 and 9588 is 22963260

Least common multiple can be found by multiplying the highest exponent prime factors of 9580 and 9588. First we will calculate the prime factors of 9580 and 9588.

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 9588


2 9588
2 4794
3 2397
17 799
47 47
1

Prime factors of 9588 are 2, 3, 17,47. Prime factorization of 9588 in exponential form is:

9588 = 22×31×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9580 and 9588.

LCM(9580,9588) = 22×31×51×171×471×4791
LCM(9580,9588) = 22963260

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 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588

Least Common Multiple of 9580 and 9588 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 9588, than apply into the LCM equation.

GCF(9580,9588) = 4
LCM(9580,9588) = ( 9580 × 9588) / 4
LCM(9580,9588) = 91853040 / 4
LCM(9580,9588) = 22963260

Properties of LCM 9580 and 9588

(i) The LCM of 9588 and 9580 is associative

LCM of 9580 and 9588 = LCM of 9588 and 9580

Related Least Common Multiples of 9580

Related Least Common Multiples of 9588

Frequently Asked Questions on LCM of 9580 and 9588

1. What is the LCM of 9580 and 9588?

Answer: LCM of 9580 and 9588 is 22963260.

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 9588?

Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.

4. How to Find the LCM of 9580 and 9588?

Answer:

Least Common Multiple of 9580 and 9588 = 22963260

Step 1: Find the prime factorization of 9580

9580 = 2 x 2 x 5 x 479

Step 2: Find the prime factorization of 9588

9588 = 2 x 2 x 3 x 17 x 47

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

LCM = 22963260 = 2 x 2 x 3 x 5 x 17 x 47 x 479

Step 4: Therefore, the least common multiple of 9580 and 9588 is 22963260.