Least Common Multiple of 2389 and 2397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2389 and 2397 the smallest integer that is 5726433 that is divisible by both numbers.

Least Common Multiple (LCM) of 2389 and 2397 is 5726433.

LCM(2389,2397) = 5726433

LCM of 2389 and 2397

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

LCM of:
and

Least Common Multiple of 2389 and 2397

LCM of 2389 and 2397 is 5726433

Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2397. First we will calculate the prime factors of 2389 and 2397.

Prime Factorization of 2389


2389 2389
1

Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:

2389 = 23891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2389 and 2397.

LCM(2389,2397) = 31×171×471×23891
LCM(2389,2397) = 5726433

Factors of 2389

List of positive integer factors of 2389 that divides 2389 without a remainder.

1, 2389

Factors of 2397

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

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

Least Common Multiple of 2389 and 2397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2389 and 2397, than apply into the LCM equation.

GCF(2389,2397) = 1
LCM(2389,2397) = ( 2389 × 2397) / 1
LCM(2389,2397) = 5726433 / 1
LCM(2389,2397) = 5726433

Properties of LCM 2389 and 2397

(i) The LCM of 2397 and 2389 is associative

LCM of 2389 and 2397 = LCM of 2397 and 2389

Related Least Common Multiples of 2389

Related Least Common Multiples of 2397

Frequently Asked Questions on LCM of 2389 and 2397

1. What is the LCM of 2389 and 2397?

Answer: LCM of 2389 and 2397 is 5726433.

2. What are the Factors of 2389?

Answer: Factors of 2389 are 1, 2389. There are 2 integers that are factors of 2389. The greatest factor of 2389 is 2389.

3. 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.

4. How to Find the LCM of 2389 and 2397?

Answer:

Least Common Multiple of 2389 and 2397 = 5726433

Step 1: Find the prime factorization of 2389

2389 = 2389

Step 2: Find the prime factorization of 2397

2397 = 3 x 17 x 47

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

LCM = 5726433 = 3 x 17 x 47 x 2389

Step 4: Therefore, the least common multiple of 2389 and 2397 is 5726433.