Least Common Multiple of 2397 and 2399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2397 and 2399 the smallest integer that is 5750403 that is divisible by both numbers.

Least Common Multiple (LCM) of 2397 and 2399 is 5750403.

LCM(2397,2399) = 5750403

LCM of 2397 and 2399

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

LCM of:
and

Least Common Multiple of 2397 and 2399

LCM of 2397 and 2399 is 5750403

Least common multiple can be found by multiplying the highest exponent prime factors of 2397 and 2399. First we will calculate the prime factors of 2397 and 2399.

Prime Factorization of 2397


3 2397
17 799
47 47
1

Prime factors of 2397 are 3, 17,47. Prime factorization of 2397 in exponential form is:

2397 = 31×171×471

Prime Factorization of 2399


2399 2399
1

Prime factors of 2399 are 2399. Prime factorization of 2399 in exponential form is:

2399 = 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 2397 and 2399.

LCM(2397,2399) = 31×171×471×23991
LCM(2397,2399) = 5750403

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1, 3, 17, 47, 51, 141, 799, 2397

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1, 2399

Least Common Multiple of 2397 and 2399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2397 and 2399, than apply into the LCM equation.

GCF(2397,2399) = 1
LCM(2397,2399) = ( 2397 × 2399) / 1
LCM(2397,2399) = 5750403 / 1
LCM(2397,2399) = 5750403

Properties of LCM 2397 and 2399

(i) The LCM of 2399 and 2397 is associative

LCM of 2397 and 2399 = LCM of 2399 and 2397

Related Least Common Multiples of 2397

Related Least Common Multiples of 2399

Frequently Asked Questions on LCM of 2397 and 2399

1. What is the LCM of 2397 and 2399?

Answer: LCM of 2397 and 2399 is 5750403.

2. What are the Factors of 2397?

Answer: Factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397. There are 8 integers that are factors of 2397. The greatest factor of 2397 is 2397.

3. What are the Factors of 2399?

Answer: Factors of 2399 are 1, 2399. There are 2 integers that are factors of 2399. The greatest factor of 2399 is 2399.

4. How to Find the LCM of 2397 and 2399?

Answer:

Least Common Multiple of 2397 and 2399 = 5750403

Step 1: Find the prime factorization of 2397

2397 = 3 x 17 x 47

Step 2: Find the prime factorization of 2399

2399 = 2399

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

LCM = 5750403 = 3 x 17 x 47 x 2399

Step 4: Therefore, the least common multiple of 2397 and 2399 is 5750403.