Least Common Multiple of 580 and 582

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 582 the smallest integer that is 168780 that is divisible by both numbers.

Least Common Multiple (LCM) of 580 and 582 is 168780.

LCM(580,582) = 168780

LCM of 580 and 582

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

LCM of:
and

Least Common Multiple of 580 and 582

LCM of 580 and 582 is 168780

Least common multiple can be found by multiplying the highest exponent prime factors of 580 and 582. First we will calculate the prime factors of 580 and 582.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 580 and 582.

LCM(580,582) = 22×31×51×291×971
LCM(580,582) = 168780

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 582

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

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

Least Common Multiple of 580 and 582 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 582, than apply into the LCM equation.

GCF(580,582) = 2
LCM(580,582) = ( 580 × 582) / 2
LCM(580,582) = 337560 / 2
LCM(580,582) = 168780

Properties of LCM 580 and 582

(i) The LCM of 582 and 580 is associative

LCM of 580 and 582 = LCM of 582 and 580

Related Least Common Multiples of 580

Related Least Common Multiples of 582

Frequently Asked Questions on LCM of 580 and 582

1. What is the LCM of 580 and 582?

Answer: LCM of 580 and 582 is 168780.

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 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.

4. How to Find the LCM of 580 and 582?

Answer:

Least Common Multiple of 580 and 582 = 168780

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 582

582 = 2 x 3 x 97

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

LCM = 168780 = 2 x 2 x 3 x 5 x 29 x 97

Step 4: Therefore, the least common multiple of 580 and 582 is 168780.