Least Common Multiple of 2584 and 2588

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 2588 the smallest integer that is 1671848 that is divisible by both numbers.

Least Common Multiple (LCM) of 2584 and 2588 is 1671848.

LCM(2584,2588) = 1671848

LCM of 2584 and 2588

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

LCM of:
and

Least Common Multiple of 2584 and 2588

LCM of 2584 and 2588 is 1671848

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2588. First we will calculate the prime factors of 2584 and 2588.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2584 and 2588.

LCM(2584,2588) = 23×171×191×6471
LCM(2584,2588) = 1671848

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 2588

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

1, 2, 4, 647, 1294, 2588

Least Common Multiple of 2584 and 2588 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 2588, than apply into the LCM equation.

GCF(2584,2588) = 4
LCM(2584,2588) = ( 2584 × 2588) / 4
LCM(2584,2588) = 6687392 / 4
LCM(2584,2588) = 1671848

Properties of LCM 2584 and 2588

(i) The LCM of 2588 and 2584 is associative

LCM of 2584 and 2588 = LCM of 2588 and 2584

Related Least Common Multiples of 2584

Related Least Common Multiples of 2588

Frequently Asked Questions on LCM of 2584 and 2588

1. What is the LCM of 2584 and 2588?

Answer: LCM of 2584 and 2588 is 1671848.

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 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.

4. How to Find the LCM of 2584 and 2588?

Answer:

Least Common Multiple of 2584 and 2588 = 1671848

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 2588

2588 = 2 x 2 x 647

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

LCM = 1671848 = 2 x 2 x 2 x 17 x 19 x 647

Step 4: Therefore, the least common multiple of 2584 and 2588 is 1671848.