Least Common Multiple of 582 and 586

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 586 the smallest integer that is 170526 that is divisible by both numbers.

Least Common Multiple (LCM) of 582 and 586 is 170526.

LCM(582,586) = 170526

LCM of 582 and 586

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

LCM of:
and

Least Common Multiple of 582 and 586

LCM of 582 and 586 is 170526

Least common multiple can be found by multiplying the highest exponent prime factors of 582 and 586. First we will calculate the prime factors of 582 and 586.

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 586


2 586
293 293
1

Prime factors of 586 are 2,293. Prime factorization of 586 in exponential form is:

586 = 21×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 582 and 586.

LCM(582,586) = 21×31×971×2931
LCM(582,586) = 170526

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 586

List of positive integer factors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Least Common Multiple of 582 and 586 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 586, than apply into the LCM equation.

GCF(582,586) = 2
LCM(582,586) = ( 582 × 586) / 2
LCM(582,586) = 341052 / 2
LCM(582,586) = 170526

Properties of LCM 582 and 586

(i) The LCM of 586 and 582 is associative

LCM of 582 and 586 = LCM of 586 and 582

Related Least Common Multiples of 582

Related Least Common Multiples of 586

Frequently Asked Questions on LCM of 582 and 586

1. What is the LCM of 582 and 586?

Answer: LCM of 582 and 586 is 170526.

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 586?

Answer: Factors of 586 are 1, 2, 293, 586. There are 4 integers that are factors of 586. The greatest factor of 586 is 586.

4. How to Find the LCM of 582 and 586?

Answer:

Least Common Multiple of 582 and 586 = 170526

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 2: Find the prime factorization of 586

586 = 2 x 293

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

LCM = 170526 = 2 x 3 x 97 x 293

Step 4: Therefore, the least common multiple of 582 and 586 is 170526.