Least Common Multiple of 2593 and 2597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2593 and 2597 the smallest integer that is 6734021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2593 and 2597 is 6734021.

LCM(2593,2597) = 6734021

LCM of 2593 and 2597

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

LCM of:
and

Least Common Multiple of 2593 and 2597

LCM of 2593 and 2597 is 6734021

Least common multiple can be found by multiplying the highest exponent prime factors of 2593 and 2597. First we will calculate the prime factors of 2593 and 2597.

Prime Factorization of 2593


2593 2593
1

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

2593 = 25931

Prime Factorization of 2597


7 2597
7 371
53 53
1

Prime factors of 2597 are 7,53. Prime factorization of 2597 in exponential form is:

2597 = 72×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2593 and 2597.

LCM(2593,2597) = 72×531×25931
LCM(2593,2597) = 6734021

Factors of 2593

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

1, 2593

Factors of 2597

List of positive integer factors of 2597 that divides 2597 without a remainder.

1, 7, 49, 53, 371, 2597

Least Common Multiple of 2593 and 2597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2593 and 2597, than apply into the LCM equation.

GCF(2593,2597) = 1
LCM(2593,2597) = ( 2593 × 2597) / 1
LCM(2593,2597) = 6734021 / 1
LCM(2593,2597) = 6734021

Properties of LCM 2593 and 2597

(i) The LCM of 2597 and 2593 is associative

LCM of 2593 and 2597 = LCM of 2597 and 2593

Related Least Common Multiples of 2593

Related Least Common Multiples of 2597

Frequently Asked Questions on LCM of 2593 and 2597

1. What is the LCM of 2593 and 2597?

Answer: LCM of 2593 and 2597 is 6734021.

2. 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.

3. What are the Factors of 2597?

Answer: Factors of 2597 are 1, 7, 49, 53, 371, 2597. There are 6 integers that are factors of 2597. The greatest factor of 2597 is 2597.

4. How to Find the LCM of 2593 and 2597?

Answer:

Least Common Multiple of 2593 and 2597 = 6734021

Step 1: Find the prime factorization of 2593

2593 = 2593

Step 2: Find the prime factorization of 2597

2597 = 7 x 7 x 53

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

LCM = 6734021 = 7 x 7 x 53 x 2593

Step 4: Therefore, the least common multiple of 2593 and 2597 is 6734021.