Least Common Multiple of 582 and 587

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 587 the smallest integer that is 341634 that is divisible by both numbers.

Least Common Multiple (LCM) of 582 and 587 is 341634.

LCM(582,587) = 341634

LCM of 582 and 587

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

LCM of:
and

Least Common Multiple of 582 and 587

LCM of 582 and 587 is 341634

Least common multiple can be found by multiplying the highest exponent prime factors of 582 and 587. First we will calculate the prime factors of 582 and 587.

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 587


587 587
1

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 582 and 587.

LCM(582,587) = 21×31×971×5871
LCM(582,587) = 341634

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 587

List of positive integer factors of 587 that divides 587 without a remainder.

1, 587

Least Common Multiple of 582 and 587 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 587, than apply into the LCM equation.

GCF(582,587) = 1
LCM(582,587) = ( 582 × 587) / 1
LCM(582,587) = 341634 / 1
LCM(582,587) = 341634

Properties of LCM 582 and 587

(i) The LCM of 587 and 582 is associative

LCM of 582 and 587 = LCM of 587 and 582

Related Least Common Multiples of 582

Related Least Common Multiples of 587

Frequently Asked Questions on LCM of 582 and 587

1. What is the LCM of 582 and 587?

Answer: LCM of 582 and 587 is 341634.

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 587?

Answer: Factors of 587 are 1, 587. There are 2 integers that are factors of 587. The greatest factor of 587 is 587.

4. How to Find the LCM of 582 and 587?

Answer:

Least Common Multiple of 582 and 587 = 341634

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 2: Find the prime factorization of 587

587 = 587

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

LCM = 341634 = 2 x 3 x 97 x 587

Step 4: Therefore, the least common multiple of 582 and 587 is 341634.