Least Common Multiple of 2582 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 2582 and 2590 the smallest integer that is 3343690 that is divisible by both numbers.

Least Common Multiple (LCM) of 2582 and 2590 is 3343690.

LCM(2582,2590) = 3343690

LCM of 2582 and 2590

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

LCM of:
and

Least Common Multiple of 2582 and 2590

LCM of 2582 and 2590 is 3343690

Least common multiple can be found by multiplying the highest exponent prime factors of 2582 and 2590. First we will calculate the prime factors of 2582 and 2590.

Prime Factorization of 2582


2 2582
1291 1291
1

Prime factors of 2582 are 2,1291. Prime factorization of 2582 in exponential form is:

2582 = 21×12911

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 2582 and 2590.

LCM(2582,2590) = 21×51×71×371×12911
LCM(2582,2590) = 3343690

Factors of 2582

List of positive integer factors of 2582 that divides 2582 without a remainder.

1, 2, 1291, 2582

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 2582 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 2582 and 2590, than apply into the LCM equation.

GCF(2582,2590) = 2
LCM(2582,2590) = ( 2582 × 2590) / 2
LCM(2582,2590) = 6687380 / 2
LCM(2582,2590) = 3343690

Properties of LCM 2582 and 2590

(i) The LCM of 2590 and 2582 is associative

LCM of 2582 and 2590 = LCM of 2590 and 2582

Related Least Common Multiples of 2582

Related Least Common Multiples of 2590

Frequently Asked Questions on LCM of 2582 and 2590

1. What is the LCM of 2582 and 2590?

Answer: LCM of 2582 and 2590 is 3343690.

2. What are the Factors of 2582?

Answer: Factors of 2582 are 1, 2, 1291, 2582. There are 4 integers that are factors of 2582. The greatest factor of 2582 is 2582.

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 2582 and 2590?

Answer:

Least Common Multiple of 2582 and 2590 = 3343690

Step 1: Find the prime factorization of 2582

2582 = 2 x 1291

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 = 3343690 = 2 x 5 x 7 x 37 x 1291

Step 4: Therefore, the least common multiple of 2582 and 2590 is 3343690.