Least Common Multiple of 2584 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 2584 and 2590 the smallest integer that is 3346280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2584 and 2590 is 3346280.

LCM(2584,2590) = 3346280

LCM of 2584 and 2590

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

LCM of:
and

Least Common Multiple of 2584 and 2590

LCM of 2584 and 2590 is 3346280

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2590. First we will calculate the prime factors of 2584 and 2590.

Prime Factorization of 2584


2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 2584 are 2, 17,19. Prime factorization of 2584 in exponential form is:

2584 = 23×171×191

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 2584 and 2590.

LCM(2584,2590) = 23×51×71×171×191×371
LCM(2584,2590) = 3346280

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584

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 2584 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 2584 and 2590, than apply into the LCM equation.

GCF(2584,2590) = 2
LCM(2584,2590) = ( 2584 × 2590) / 2
LCM(2584,2590) = 6692560 / 2
LCM(2584,2590) = 3346280

Properties of LCM 2584 and 2590

(i) The LCM of 2590 and 2584 is associative

LCM of 2584 and 2590 = LCM of 2590 and 2584

Related Least Common Multiples of 2584

Related Least Common Multiples of 2590

Frequently Asked Questions on LCM of 2584 and 2590

1. What is the LCM of 2584 and 2590?

Answer: LCM of 2584 and 2590 is 3346280.

2. What are the Factors of 2584?

Answer: Factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584. There are 16 integers that are factors of 2584. The greatest factor of 2584 is 2584.

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 2584 and 2590?

Answer:

Least Common Multiple of 2584 and 2590 = 3346280

Step 1: Find the prime factorization of 2584

2584 = 2 x 2 x 2 x 17 x 19

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 = 3346280 = 2 x 2 x 2 x 5 x 7 x 17 x 19 x 37

Step 4: Therefore, the least common multiple of 2584 and 2590 is 3346280.