Least Common Multiple of 2597 and 2600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2597 and 2600 the smallest integer that is 6752200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2597 and 2600 is 6752200.

LCM(2597,2600) = 6752200

LCM of 2597 and 2600

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

LCM of:
and

Least Common Multiple of 2597 and 2600

LCM of 2597 and 2600 is 6752200

Least common multiple can be found by multiplying the highest exponent prime factors of 2597 and 2600. First we will calculate the prime factors of 2597 and 2600.

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

Prime Factorization of 2600


2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 2600 are 2, 5,13. Prime factorization of 2600 in exponential form is:

2600 = 23×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2597 and 2600.

LCM(2597,2600) = 23×52×72×131×531
LCM(2597,2600) = 6752200

Factors of 2597

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

1, 7, 49, 53, 371, 2597

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600

Least Common Multiple of 2597 and 2600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2597 and 2600, than apply into the LCM equation.

GCF(2597,2600) = 1
LCM(2597,2600) = ( 2597 × 2600) / 1
LCM(2597,2600) = 6752200 / 1
LCM(2597,2600) = 6752200

Properties of LCM 2597 and 2600

(i) The LCM of 2600 and 2597 is associative

LCM of 2597 and 2600 = LCM of 2600 and 2597

Related Least Common Multiples of 2597

Related Least Common Multiples of 2600

Frequently Asked Questions on LCM of 2597 and 2600

1. What is the LCM of 2597 and 2600?

Answer: LCM of 2597 and 2600 is 6752200.

2. 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.

3. What are the Factors of 2600?

Answer: Factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600. There are 24 integers that are factors of 2600. The greatest factor of 2600 is 2600.

4. How to Find the LCM of 2597 and 2600?

Answer:

Least Common Multiple of 2597 and 2600 = 6752200

Step 1: Find the prime factorization of 2597

2597 = 7 x 7 x 53

Step 2: Find the prime factorization of 2600

2600 = 2 x 2 x 2 x 5 x 5 x 13

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

LCM = 6752200 = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 13 x 53

Step 4: Therefore, the least common multiple of 2597 and 2600 is 6752200.