Least Common Multiple of 2588 and 2593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2588 and 2593 the smallest integer that is 6710684 that is divisible by both numbers.

Least Common Multiple (LCM) of 2588 and 2593 is 6710684.

LCM(2588,2593) = 6710684

LCM of 2588 and 2593

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

LCM of:
and

Least Common Multiple of 2588 and 2593

LCM of 2588 and 2593 is 6710684

Least common multiple can be found by multiplying the highest exponent prime factors of 2588 and 2593. First we will calculate the prime factors of 2588 and 2593.

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

Prime Factorization of 2593


2593 2593
1

Prime factors of 2593 are 2593. Prime factorization of 2593 in exponential form is:

2593 = 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 2588 and 2593.

LCM(2588,2593) = 22×6471×25931
LCM(2588,2593) = 6710684

Factors of 2588

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

1, 2, 4, 647, 1294, 2588

Factors of 2593

List of positive integer factors of 2593 that divides 2593 without a remainder.

1, 2593

Least Common Multiple of 2588 and 2593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2588 and 2593, than apply into the LCM equation.

GCF(2588,2593) = 1
LCM(2588,2593) = ( 2588 × 2593) / 1
LCM(2588,2593) = 6710684 / 1
LCM(2588,2593) = 6710684

Properties of LCM 2588 and 2593

(i) The LCM of 2593 and 2588 is associative

LCM of 2588 and 2593 = LCM of 2593 and 2588

Related Least Common Multiples of 2588

Related Least Common Multiples of 2593

Frequently Asked Questions on LCM of 2588 and 2593

1. What is the LCM of 2588 and 2593?

Answer: LCM of 2588 and 2593 is 6710684.

2. 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.

3. What are the Factors of 2593?

Answer: Factors of 2593 are 1, 2593. There are 2 integers that are factors of 2593. The greatest factor of 2593 is 2593.

4. How to Find the LCM of 2588 and 2593?

Answer:

Least Common Multiple of 2588 and 2593 = 6710684

Step 1: Find the prime factorization of 2588

2588 = 2 x 2 x 647

Step 2: Find the prime factorization of 2593

2593 = 2593

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

LCM = 6710684 = 2 x 2 x 647 x 2593

Step 4: Therefore, the least common multiple of 2588 and 2593 is 6710684.