Least Common Multiple of 2585 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 2585 and 2590 the smallest integer that is 1339030 that is divisible by both numbers.

Least Common Multiple (LCM) of 2585 and 2590 is 1339030.

LCM(2585,2590) = 1339030

LCM of 2585 and 2590

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

LCM of:
and

Least Common Multiple of 2585 and 2590

LCM of 2585 and 2590 is 1339030

Least common multiple can be found by multiplying the highest exponent prime factors of 2585 and 2590. First we will calculate the prime factors of 2585 and 2590.

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 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 2585 and 2590.

LCM(2585,2590) = 21×51×71×111×371×471
LCM(2585,2590) = 1339030

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 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 2585 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 2585 and 2590, than apply into the LCM equation.

GCF(2585,2590) = 5
LCM(2585,2590) = ( 2585 × 2590) / 5
LCM(2585,2590) = 6695150 / 5
LCM(2585,2590) = 1339030

Properties of LCM 2585 and 2590

(i) The LCM of 2590 and 2585 is associative

LCM of 2585 and 2590 = LCM of 2590 and 2585

Related Least Common Multiples of 2585

Related Least Common Multiples of 2590

Frequently Asked Questions on LCM of 2585 and 2590

1. What is the LCM of 2585 and 2590?

Answer: LCM of 2585 and 2590 is 1339030.

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 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 2585 and 2590?

Answer:

Least Common Multiple of 2585 and 2590 = 1339030

Step 1: Find the prime factorization of 2585

2585 = 5 x 11 x 47

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 = 1339030 = 2 x 5 x 7 x 11 x 37 x 47

Step 4: Therefore, the least common multiple of 2585 and 2590 is 1339030.