Least Common Multiple of 2589 and 2595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2589 and 2595 the smallest integer that is 2239485 that is divisible by both numbers.

Least Common Multiple (LCM) of 2589 and 2595 is 2239485.

LCM(2589,2595) = 2239485

LCM of 2589 and 2595

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

LCM of:
and

Least Common Multiple of 2589 and 2595

LCM of 2589 and 2595 is 2239485

Least common multiple can be found by multiplying the highest exponent prime factors of 2589 and 2595. First we will calculate the prime factors of 2589 and 2595.

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

Prime Factorization of 2595


3 2595
5 865
173 173
1

Prime factors of 2595 are 3, 5,173. Prime factorization of 2595 in exponential form is:

2595 = 31×51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2589 and 2595.

LCM(2589,2595) = 31×51×1731×8631
LCM(2589,2595) = 2239485

Factors of 2589

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

1, 3, 863, 2589

Factors of 2595

List of positive integer factors of 2595 that divides 2595 without a remainder.

1, 3, 5, 15, 173, 519, 865, 2595

Least Common Multiple of 2589 and 2595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2589 and 2595, than apply into the LCM equation.

GCF(2589,2595) = 3
LCM(2589,2595) = ( 2589 × 2595) / 3
LCM(2589,2595) = 6718455 / 3
LCM(2589,2595) = 2239485

Properties of LCM 2589 and 2595

(i) The LCM of 2595 and 2589 is associative

LCM of 2589 and 2595 = LCM of 2595 and 2589

Related Least Common Multiples of 2589

Related Least Common Multiples of 2595

Frequently Asked Questions on LCM of 2589 and 2595

1. What is the LCM of 2589 and 2595?

Answer: LCM of 2589 and 2595 is 2239485.

2. 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.

3. What are the Factors of 2595?

Answer: Factors of 2595 are 1, 3, 5, 15, 173, 519, 865, 2595. There are 8 integers that are factors of 2595. The greatest factor of 2595 is 2595.

4. How to Find the LCM of 2589 and 2595?

Answer:

Least Common Multiple of 2589 and 2595 = 2239485

Step 1: Find the prime factorization of 2589

2589 = 3 x 863

Step 2: Find the prime factorization of 2595

2595 = 3 x 5 x 173

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

LCM = 2239485 = 3 x 5 x 173 x 863

Step 4: Therefore, the least common multiple of 2589 and 2595 is 2239485.