Least Common Multiple of 580 and 585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 580 and 585 the smallest integer that is 67860 that is divisible by both numbers.

Least Common Multiple (LCM) of 580 and 585 is 67860.

LCM(580,585) = 67860

LCM of 580 and 585

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

LCM of:
and

Least Common Multiple of 580 and 585

LCM of 580 and 585 is 67860

Least common multiple can be found by multiplying the highest exponent prime factors of 580 and 585. First we will calculate the prime factors of 580 and 585.

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2, 5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

Prime Factorization of 585


3 585
3 195
5 65
13 13
1

Prime factors of 585 are 3, 5,13. Prime factorization of 585 in exponential form is:

585 = 32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 580 and 585.

LCM(580,585) = 22×32×51×131×291
LCM(580,585) = 67860

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Least Common Multiple of 580 and 585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 580 and 585, than apply into the LCM equation.

GCF(580,585) = 5
LCM(580,585) = ( 580 × 585) / 5
LCM(580,585) = 339300 / 5
LCM(580,585) = 67860

Properties of LCM 580 and 585

(i) The LCM of 585 and 580 is associative

LCM of 580 and 585 = LCM of 585 and 580

Related Least Common Multiples of 580

Related Least Common Multiples of 585

Frequently Asked Questions on LCM of 580 and 585

1. What is the LCM of 580 and 585?

Answer: LCM of 580 and 585 is 67860.

2. What are the Factors of 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

3. What are the Factors of 585?

Answer: Factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585. There are 12 integers that are factors of 585. The greatest factor of 585 is 585.

4. How to Find the LCM of 580 and 585?

Answer:

Least Common Multiple of 580 and 585 = 67860

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

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

LCM = 67860 = 2 x 2 x 3 x 3 x 5 x 13 x 29

Step 4: Therefore, the least common multiple of 580 and 585 is 67860.