Least Common Multiple of 587 and 589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 587 and 589 the smallest integer that is 345743 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 589 is 345743.

LCM(587,589) = 345743

LCM of 587 and 589

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

LCM of:
and

Least Common Multiple of 587 and 589

LCM of 587 and 589 is 345743

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 589. First we will calculate the prime factors of 587 and 589.

Prime Factorization of 587


587 587
1

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

587 = 5871

Prime Factorization of 589


19 589
31 31
1

Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:

589 = 191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 587 and 589.

LCM(587,589) = 191×311×5871
LCM(587,589) = 345743

Factors of 587

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

1, 587

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Least Common Multiple of 587 and 589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 587 and 589, than apply into the LCM equation.

GCF(587,589) = 1
LCM(587,589) = ( 587 × 589) / 1
LCM(587,589) = 345743 / 1
LCM(587,589) = 345743

Properties of LCM 587 and 589

(i) The LCM of 589 and 587 is associative

LCM of 587 and 589 = LCM of 589 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 589

Frequently Asked Questions on LCM of 587 and 589

1. What is the LCM of 587 and 589?

Answer: LCM of 587 and 589 is 345743.

2. 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.

3. What are the Factors of 589?

Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.

4. How to Find the LCM of 587 and 589?

Answer:

Least Common Multiple of 587 and 589 = 345743

Step 1: Find the prime factorization of 587

587 = 587

Step 2: Find the prime factorization of 589

589 = 19 x 31

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

LCM = 345743 = 19 x 31 x 587

Step 4: Therefore, the least common multiple of 587 and 589 is 345743.