Least Common Multiple of 2323 and 2331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2323 and 2331 the smallest integer that is 5414913 that is divisible by both numbers.

Least Common Multiple (LCM) of 2323 and 2331 is 5414913.

LCM(2323,2331) = 5414913

LCM of 2323 and 2331

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

LCM of:
and

Least Common Multiple of 2323 and 2331

LCM of 2323 and 2331 is 5414913

Least common multiple can be found by multiplying the highest exponent prime factors of 2323 and 2331. First we will calculate the prime factors of 2323 and 2331.

Prime Factorization of 2323


23 2323
101 101
1

Prime factors of 2323 are 23,101. Prime factorization of 2323 in exponential form is:

2323 = 231×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2323 and 2331.

LCM(2323,2331) = 32×71×231×371×1011
LCM(2323,2331) = 5414913

Factors of 2323

List of positive integer factors of 2323 that divides 2323 without a remainder.

1, 23, 101, 2323

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

Least Common Multiple of 2323 and 2331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2323 and 2331, than apply into the LCM equation.

GCF(2323,2331) = 1
LCM(2323,2331) = ( 2323 × 2331) / 1
LCM(2323,2331) = 5414913 / 1
LCM(2323,2331) = 5414913

Properties of LCM 2323 and 2331

(i) The LCM of 2331 and 2323 is associative

LCM of 2323 and 2331 = LCM of 2331 and 2323

Related Least Common Multiples of 2323

Related Least Common Multiples of 2331

Frequently Asked Questions on LCM of 2323 and 2331

1. What is the LCM of 2323 and 2331?

Answer: LCM of 2323 and 2331 is 5414913.

2. What are the Factors of 2323?

Answer: Factors of 2323 are 1, 23, 101, 2323. There are 4 integers that are factors of 2323. The greatest factor of 2323 is 2323.

3. 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.

4. How to Find the LCM of 2323 and 2331?

Answer:

Least Common Multiple of 2323 and 2331 = 5414913

Step 1: Find the prime factorization of 2323

2323 = 23 x 101

Step 2: Find the prime factorization of 2331

2331 = 3 x 3 x 7 x 37

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

LCM = 5414913 = 3 x 3 x 7 x 23 x 37 x 101

Step 4: Therefore, the least common multiple of 2323 and 2331 is 5414913.