Least Common Multiple of 2584 and 2589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2584 and 2589 the smallest integer that is 6689976 that is divisible by both numbers.

Least Common Multiple (LCM) of 2584 and 2589 is 6689976.

LCM(2584,2589) = 6689976

LCM of 2584 and 2589

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

LCM of:
and

Least Common Multiple of 2584 and 2589

LCM of 2584 and 2589 is 6689976

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2589. First we will calculate the prime factors of 2584 and 2589.

Prime Factorization of 2584


2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 2584 are 2, 17,19. Prime factorization of 2584 in exponential form is:

2584 = 23×171×191

Prime Factorization of 2589


3 2589
863 863
1

Prime factors of 2589 are 3,863. Prime factorization of 2589 in exponential form is:

2589 = 31×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 2584 and 2589.

LCM(2584,2589) = 23×31×171×191×8631
LCM(2584,2589) = 6689976

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584

Factors of 2589

List of positive integer factors of 2589 that divides 2589 without a remainder.

1, 3, 863, 2589

Least Common Multiple of 2584 and 2589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2584 and 2589, than apply into the LCM equation.

GCF(2584,2589) = 1
LCM(2584,2589) = ( 2584 × 2589) / 1
LCM(2584,2589) = 6689976 / 1
LCM(2584,2589) = 6689976

Properties of LCM 2584 and 2589

(i) The LCM of 2589 and 2584 is associative

LCM of 2584 and 2589 = LCM of 2589 and 2584

Related Least Common Multiples of 2584

Related Least Common Multiples of 2589

Frequently Asked Questions on LCM of 2584 and 2589

1. What is the LCM of 2584 and 2589?

Answer: LCM of 2584 and 2589 is 6689976.

2. What are the Factors of 2584?

Answer: Factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584. There are 16 integers that are factors of 2584. The greatest factor of 2584 is 2584.

3. What are the Factors of 2589?

Answer: Factors of 2589 are 1, 3, 863, 2589. There are 4 integers that are factors of 2589. The greatest factor of 2589 is 2589.

4. How to Find the LCM of 2584 and 2589?

Answer:

Least Common Multiple of 2584 and 2589 = 6689976

Step 1: Find the prime factorization of 2584

2584 = 2 x 2 x 2 x 17 x 19

Step 2: Find the prime factorization of 2589

2589 = 3 x 863

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

LCM = 6689976 = 2 x 2 x 2 x 3 x 17 x 19 x 863

Step 4: Therefore, the least common multiple of 2584 and 2589 is 6689976.