Least Common Multiple of 582 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 582 and 585 the smallest integer that is 113490 that is divisible by both numbers.

Least Common Multiple (LCM) of 582 and 585 is 113490.

LCM(582,585) = 113490

LCM of 582 and 585

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

LCM of:
and

Least Common Multiple of 582 and 585

LCM of 582 and 585 is 113490

Least common multiple can be found by multiplying the highest exponent prime factors of 582 and 585. First we will calculate the prime factors of 582 and 585.

Prime Factorization of 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

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 582 and 585.

LCM(582,585) = 21×32×51×131×971
LCM(582,585) = 113490

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

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 582 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 582 and 585, than apply into the LCM equation.

GCF(582,585) = 3
LCM(582,585) = ( 582 × 585) / 3
LCM(582,585) = 340470 / 3
LCM(582,585) = 113490

Properties of LCM 582 and 585

(i) The LCM of 585 and 582 is associative

LCM of 582 and 585 = LCM of 585 and 582

Related Least Common Multiples of 582

Related Least Common Multiples of 585

Frequently Asked Questions on LCM of 582 and 585

1. What is the LCM of 582 and 585?

Answer: LCM of 582 and 585 is 113490.

2. What are the Factors of 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

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 582 and 585?

Answer:

Least Common Multiple of 582 and 585 = 113490

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

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 = 113490 = 2 x 3 x 3 x 5 x 13 x 97

Step 4: Therefore, the least common multiple of 582 and 585 is 113490.