Least Common Multiple of 2587 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 2587 and 2593 the smallest integer that is 6708091 that is divisible by both numbers.

Least Common Multiple (LCM) of 2587 and 2593 is 6708091.

LCM(2587,2593) = 6708091

LCM of 2587 and 2593

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

LCM of:
and

Least Common Multiple of 2587 and 2593

LCM of 2587 and 2593 is 6708091

Least common multiple can be found by multiplying the highest exponent prime factors of 2587 and 2593. First we will calculate the prime factors of 2587 and 2593.

Prime Factorization of 2587


13 2587
199 199
1

Prime factors of 2587 are 13,199. Prime factorization of 2587 in exponential form is:

2587 = 131×1991

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 2587 and 2593.

LCM(2587,2593) = 131×1991×25931
LCM(2587,2593) = 6708091

Factors of 2587

List of positive integer factors of 2587 that divides 2587 without a remainder.

1, 13, 199, 2587

Factors of 2593

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

1, 2593

Least Common Multiple of 2587 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 2587 and 2593, than apply into the LCM equation.

GCF(2587,2593) = 1
LCM(2587,2593) = ( 2587 × 2593) / 1
LCM(2587,2593) = 6708091 / 1
LCM(2587,2593) = 6708091

Properties of LCM 2587 and 2593

(i) The LCM of 2593 and 2587 is associative

LCM of 2587 and 2593 = LCM of 2593 and 2587

Related Least Common Multiples of 2587

Related Least Common Multiples of 2593

Frequently Asked Questions on LCM of 2587 and 2593

1. What is the LCM of 2587 and 2593?

Answer: LCM of 2587 and 2593 is 6708091.

2. What are the Factors of 2587?

Answer: Factors of 2587 are 1, 13, 199, 2587. There are 4 integers that are factors of 2587. The greatest factor of 2587 is 2587.

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 2587 and 2593?

Answer:

Least Common Multiple of 2587 and 2593 = 6708091

Step 1: Find the prime factorization of 2587

2587 = 13 x 199

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 = 6708091 = 13 x 199 x 2593

Step 4: Therefore, the least common multiple of 2587 and 2593 is 6708091.