Least Common Multiple of 2589 and 2596

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 2596 the smallest integer that is 6721044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2589 and 2596 is 6721044.

LCM(2589,2596) = 6721044

LCM of 2589 and 2596

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

LCM of:
and

Least Common Multiple of 2589 and 2596

LCM of 2589 and 2596 is 6721044

Least common multiple can be found by multiplying the highest exponent prime factors of 2589 and 2596. First we will calculate the prime factors of 2589 and 2596.

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 2596


2 2596
2 1298
11 649
59 59
1

Prime factors of 2596 are 2, 11,59. Prime factorization of 2596 in exponential form is:

2596 = 22×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2589 and 2596.

LCM(2589,2596) = 22×31×111×591×8631
LCM(2589,2596) = 6721044

Factors of 2589

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

1, 3, 863, 2589

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596

Least Common Multiple of 2589 and 2596 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 2596, than apply into the LCM equation.

GCF(2589,2596) = 1
LCM(2589,2596) = ( 2589 × 2596) / 1
LCM(2589,2596) = 6721044 / 1
LCM(2589,2596) = 6721044

Properties of LCM 2589 and 2596

(i) The LCM of 2596 and 2589 is associative

LCM of 2589 and 2596 = LCM of 2596 and 2589

Related Least Common Multiples of 2589

Related Least Common Multiples of 2596

Frequently Asked Questions on LCM of 2589 and 2596

1. What is the LCM of 2589 and 2596?

Answer: LCM of 2589 and 2596 is 6721044.

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 2596?

Answer: Factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596. There are 12 integers that are factors of 2596. The greatest factor of 2596 is 2596.

4. How to Find the LCM of 2589 and 2596?

Answer:

Least Common Multiple of 2589 and 2596 = 6721044

Step 1: Find the prime factorization of 2589

2589 = 3 x 863

Step 2: Find the prime factorization of 2596

2596 = 2 x 2 x 11 x 59

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

LCM = 6721044 = 2 x 2 x 3 x 11 x 59 x 863

Step 4: Therefore, the least common multiple of 2589 and 2596 is 6721044.