Least Common Multiple of 2331 and 2339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2331 and 2339 the smallest integer that is 5452209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2331 and 2339 is 5452209.

LCM(2331,2339) = 5452209

LCM of 2331 and 2339

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

LCM of:
and

Least Common Multiple of 2331 and 2339

LCM of 2331 and 2339 is 5452209

Least common multiple can be found by multiplying the highest exponent prime factors of 2331 and 2339. First we will calculate the prime factors of 2331 and 2339.

Prime Factorization of 2331


3 2331
3 777
7 259
37 37
1

Prime factors of 2331 are 3, 7,37. Prime factorization of 2331 in exponential form is:

2331 = 32×71×371

Prime Factorization of 2339


2339 2339
1

Prime factors of 2339 are 2339. Prime factorization of 2339 in exponential form is:

2339 = 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 2331 and 2339.

LCM(2331,2339) = 32×71×371×23391
LCM(2331,2339) = 5452209

Factors of 2331

List of positive integer factors of 2331 that divides 2331 without a remainder.

1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331

Factors of 2339

List of positive integer factors of 2339 that divides 2339 without a remainder.

1, 2339

Least Common Multiple of 2331 and 2339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2331 and 2339, than apply into the LCM equation.

GCF(2331,2339) = 1
LCM(2331,2339) = ( 2331 × 2339) / 1
LCM(2331,2339) = 5452209 / 1
LCM(2331,2339) = 5452209

Properties of LCM 2331 and 2339

(i) The LCM of 2339 and 2331 is associative

LCM of 2331 and 2339 = LCM of 2339 and 2331

Related Least Common Multiples of 2331

Related Least Common Multiples of 2339

Frequently Asked Questions on LCM of 2331 and 2339

1. What is the LCM of 2331 and 2339?

Answer: LCM of 2331 and 2339 is 5452209.

2. What are the Factors of 2331?

Answer: Factors of 2331 are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331. There are 12 integers that are factors of 2331. The greatest factor of 2331 is 2331.

3. What are the Factors of 2339?

Answer: Factors of 2339 are 1, 2339. There are 2 integers that are factors of 2339. The greatest factor of 2339 is 2339.

4. How to Find the LCM of 2331 and 2339?

Answer:

Least Common Multiple of 2331 and 2339 = 5452209

Step 1: Find the prime factorization of 2331

2331 = 3 x 3 x 7 x 37

Step 2: Find the prime factorization of 2339

2339 = 2339

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

LCM = 5452209 = 3 x 3 x 7 x 37 x 2339

Step 4: Therefore, the least common multiple of 2331 and 2339 is 5452209.