Least Common Multiple of 2391 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 2391 and 2397 the smallest integer that is 1910409 that is divisible by both numbers.

Least Common Multiple (LCM) of 2391 and 2397 is 1910409.

LCM(2391,2397) = 1910409

LCM of 2391 and 2397

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

LCM of:
and

Least Common Multiple of 2391 and 2397

LCM of 2391 and 2397 is 1910409

Least common multiple can be found by multiplying the highest exponent prime factors of 2391 and 2397. First we will calculate the prime factors of 2391 and 2397.

Prime Factorization of 2391


3 2391
797 797
1

Prime factors of 2391 are 3,797. Prime factorization of 2391 in exponential form is:

2391 = 31×7971

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 2391 and 2397.

LCM(2391,2397) = 31×171×471×7971
LCM(2391,2397) = 1910409

Factors of 2391

List of positive integer factors of 2391 that divides 2391 without a remainder.

1, 3, 797, 2391

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 2391 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 2391 and 2397, than apply into the LCM equation.

GCF(2391,2397) = 3
LCM(2391,2397) = ( 2391 × 2397) / 3
LCM(2391,2397) = 5731227 / 3
LCM(2391,2397) = 1910409

Properties of LCM 2391 and 2397

(i) The LCM of 2397 and 2391 is associative

LCM of 2391 and 2397 = LCM of 2397 and 2391

Related Least Common Multiples of 2391

Related Least Common Multiples of 2397

Frequently Asked Questions on LCM of 2391 and 2397

1. What is the LCM of 2391 and 2397?

Answer: LCM of 2391 and 2397 is 1910409.

2. What are the Factors of 2391?

Answer: Factors of 2391 are 1, 3, 797, 2391. There are 4 integers that are factors of 2391. The greatest factor of 2391 is 2391.

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 2391 and 2397?

Answer:

Least Common Multiple of 2391 and 2397 = 1910409

Step 1: Find the prime factorization of 2391

2391 = 3 x 797

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 = 1910409 = 3 x 17 x 47 x 797

Step 4: Therefore, the least common multiple of 2391 and 2397 is 1910409.