Least Common Multiple of 584 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 584 and 589 the smallest integer that is 343976 that is divisible by both numbers.

Least Common Multiple (LCM) of 584 and 589 is 343976.

LCM(584,589) = 343976

LCM of 584 and 589

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

LCM of:
and

Least Common Multiple of 584 and 589

LCM of 584 and 589 is 343976

Least common multiple can be found by multiplying the highest exponent prime factors of 584 and 589. First we will calculate the prime factors of 584 and 589.

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

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 584 and 589.

LCM(584,589) = 23×191×311×731
LCM(584,589) = 343976

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Factors of 589

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

1, 19, 31, 589

Least Common Multiple of 584 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 584 and 589, than apply into the LCM equation.

GCF(584,589) = 1
LCM(584,589) = ( 584 × 589) / 1
LCM(584,589) = 343976 / 1
LCM(584,589) = 343976

Properties of LCM 584 and 589

(i) The LCM of 589 and 584 is associative

LCM of 584 and 589 = LCM of 589 and 584

Related Least Common Multiples of 584

Related Least Common Multiples of 589

Frequently Asked Questions on LCM of 584 and 589

1. What is the LCM of 584 and 589?

Answer: LCM of 584 and 589 is 343976.

2. What are the Factors of 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

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 584 and 589?

Answer:

Least Common Multiple of 584 and 589 = 343976

Step 1: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

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 = 343976 = 2 x 2 x 2 x 19 x 31 x 73

Step 4: Therefore, the least common multiple of 584 and 589 is 343976.