Least Common Multiple of 2585 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 2585 and 2589 the smallest integer that is 6692565 that is divisible by both numbers.

Least Common Multiple (LCM) of 2585 and 2589 is 6692565.

LCM(2585,2589) = 6692565

LCM of 2585 and 2589

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

LCM of:
and

Least Common Multiple of 2585 and 2589

LCM of 2585 and 2589 is 6692565

Least common multiple can be found by multiplying the highest exponent prime factors of 2585 and 2589. First we will calculate the prime factors of 2585 and 2589.

Prime Factorization of 2585


5 2585
11 517
47 47
1

Prime factors of 2585 are 5, 11,47. Prime factorization of 2585 in exponential form is:

2585 = 51×111×471

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 2585 and 2589.

LCM(2585,2589) = 31×51×111×471×8631
LCM(2585,2589) = 6692565

Factors of 2585

List of positive integer factors of 2585 that divides 2585 without a remainder.

1, 5, 11, 47, 55, 235, 517, 2585

Factors of 2589

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

1, 3, 863, 2589

Least Common Multiple of 2585 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 2585 and 2589, than apply into the LCM equation.

GCF(2585,2589) = 1
LCM(2585,2589) = ( 2585 × 2589) / 1
LCM(2585,2589) = 6692565 / 1
LCM(2585,2589) = 6692565

Properties of LCM 2585 and 2589

(i) The LCM of 2589 and 2585 is associative

LCM of 2585 and 2589 = LCM of 2589 and 2585

Related Least Common Multiples of 2585

Related Least Common Multiples of 2589

Frequently Asked Questions on LCM of 2585 and 2589

1. What is the LCM of 2585 and 2589?

Answer: LCM of 2585 and 2589 is 6692565.

2. What are the Factors of 2585?

Answer: Factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585. There are 8 integers that are factors of 2585. The greatest factor of 2585 is 2585.

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 2585 and 2589?

Answer:

Least Common Multiple of 2585 and 2589 = 6692565

Step 1: Find the prime factorization of 2585

2585 = 5 x 11 x 47

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 = 6692565 = 3 x 5 x 11 x 47 x 863

Step 4: Therefore, the least common multiple of 2585 and 2589 is 6692565.