Least Common Multiple of 2588 and 2590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2588 and 2590 the smallest integer that is 3351460 that is divisible by both numbers.

Least Common Multiple (LCM) of 2588 and 2590 is 3351460.

LCM(2588,2590) = 3351460

LCM of 2588 and 2590

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

LCM of:
and

Least Common Multiple of 2588 and 2590

LCM of 2588 and 2590 is 3351460

Least common multiple can be found by multiplying the highest exponent prime factors of 2588 and 2590. First we will calculate the prime factors of 2588 and 2590.

Prime Factorization of 2588


2 2588
2 1294
647 647
1

Prime factors of 2588 are 2,647. Prime factorization of 2588 in exponential form is:

2588 = 22×6471

Prime Factorization of 2590


2 2590
5 1295
7 259
37 37
1

Prime factors of 2590 are 2, 5, 7,37. Prime factorization of 2590 in exponential form is:

2590 = 21×51×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2588 and 2590.

LCM(2588,2590) = 22×51×71×371×6471
LCM(2588,2590) = 3351460

Factors of 2588

List of positive integer factors of 2588 that divides 2588 without a remainder.

1, 2, 4, 647, 1294, 2588

Factors of 2590

List of positive integer factors of 2590 that divides 2590 without a remainder.

1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590

Least Common Multiple of 2588 and 2590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2588 and 2590, than apply into the LCM equation.

GCF(2588,2590) = 2
LCM(2588,2590) = ( 2588 × 2590) / 2
LCM(2588,2590) = 6702920 / 2
LCM(2588,2590) = 3351460

Properties of LCM 2588 and 2590

(i) The LCM of 2590 and 2588 is associative

LCM of 2588 and 2590 = LCM of 2590 and 2588

Related Least Common Multiples of 2588

Related Least Common Multiples of 2590

Frequently Asked Questions on LCM of 2588 and 2590

1. What is the LCM of 2588 and 2590?

Answer: LCM of 2588 and 2590 is 3351460.

2. What are the Factors of 2588?

Answer: Factors of 2588 are 1, 2, 4, 647, 1294, 2588. There are 6 integers that are factors of 2588. The greatest factor of 2588 is 2588.

3. What are the Factors of 2590?

Answer: Factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590. There are 16 integers that are factors of 2590. The greatest factor of 2590 is 2590.

4. How to Find the LCM of 2588 and 2590?

Answer:

Least Common Multiple of 2588 and 2590 = 3351460

Step 1: Find the prime factorization of 2588

2588 = 2 x 2 x 647

Step 2: Find the prime factorization of 2590

2590 = 2 x 5 x 7 x 37

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

LCM = 3351460 = 2 x 2 x 5 x 7 x 37 x 647

Step 4: Therefore, the least common multiple of 2588 and 2590 is 3351460.