Least Common Multiple of 2391 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 2391 and 2399 the smallest integer that is 5736009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2391 and 2399 is 5736009.

LCM(2391,2399) = 5736009

LCM of 2391 and 2399

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

LCM of:
and

Least Common Multiple of 2391 and 2399

LCM of 2391 and 2399 is 5736009

Least common multiple can be found by multiplying the highest exponent prime factors of 2391 and 2399. First we will calculate the prime factors of 2391 and 2399.

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 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 2391 and 2399.

LCM(2391,2399) = 31×7971×23991
LCM(2391,2399) = 5736009

Factors of 2391

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

1, 3, 797, 2391

Factors of 2399

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

1, 2399

Least Common Multiple of 2391 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 2391 and 2399, than apply into the LCM equation.

GCF(2391,2399) = 1
LCM(2391,2399) = ( 2391 × 2399) / 1
LCM(2391,2399) = 5736009 / 1
LCM(2391,2399) = 5736009

Properties of LCM 2391 and 2399

(i) The LCM of 2399 and 2391 is associative

LCM of 2391 and 2399 = LCM of 2399 and 2391

Related Least Common Multiples of 2391

Related Least Common Multiples of 2399

Frequently Asked Questions on LCM of 2391 and 2399

1. What is the LCM of 2391 and 2399?

Answer: LCM of 2391 and 2399 is 5736009.

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 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 2391 and 2399?

Answer:

Least Common Multiple of 2391 and 2399 = 5736009

Step 1: Find the prime factorization of 2391

2391 = 3 x 797

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 = 5736009 = 3 x 797 x 2399

Step 4: Therefore, the least common multiple of 2391 and 2399 is 5736009.