Least Common Multiple of 2583 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 2583 and 2588 the smallest integer that is 6684804 that is divisible by both numbers.

Least Common Multiple (LCM) of 2583 and 2588 is 6684804.

LCM(2583,2588) = 6684804

LCM of 2583 and 2588

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

LCM of:
and

Least Common Multiple of 2583 and 2588

LCM of 2583 and 2588 is 6684804

Least common multiple can be found by multiplying the highest exponent prime factors of 2583 and 2588. First we will calculate the prime factors of 2583 and 2588.

Prime Factorization of 2583


3 2583
3 861
7 287
41 41
1

Prime factors of 2583 are 3, 7,41. Prime factorization of 2583 in exponential form is:

2583 = 32×71×411

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 2583 and 2588.

LCM(2583,2588) = 22×32×71×411×6471
LCM(2583,2588) = 6684804

Factors of 2583

List of positive integer factors of 2583 that divides 2583 without a remainder.

1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583

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 2583 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 2583 and 2588, than apply into the LCM equation.

GCF(2583,2588) = 1
LCM(2583,2588) = ( 2583 × 2588) / 1
LCM(2583,2588) = 6684804 / 1
LCM(2583,2588) = 6684804

Properties of LCM 2583 and 2588

(i) The LCM of 2588 and 2583 is associative

LCM of 2583 and 2588 = LCM of 2588 and 2583

Related Least Common Multiples of 2583

Related Least Common Multiples of 2588

Frequently Asked Questions on LCM of 2583 and 2588

1. What is the LCM of 2583 and 2588?

Answer: LCM of 2583 and 2588 is 6684804.

2. What are the Factors of 2583?

Answer: Factors of 2583 are 1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583. There are 12 integers that are factors of 2583. The greatest factor of 2583 is 2583.

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 2583 and 2588?

Answer:

Least Common Multiple of 2583 and 2588 = 6684804

Step 1: Find the prime factorization of 2583

2583 = 3 x 3 x 7 x 41

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 = 6684804 = 2 x 2 x 3 x 3 x 7 x 41 x 647

Step 4: Therefore, the least common multiple of 2583 and 2588 is 6684804.