Least Common Multiple of 2324 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 2324 and 2331 the smallest integer that is 773892 that is divisible by both numbers.

Least Common Multiple (LCM) of 2324 and 2331 is 773892.

LCM(2324,2331) = 773892

LCM of 2324 and 2331

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

LCM of:
and

Least Common Multiple of 2324 and 2331

LCM of 2324 and 2331 is 773892

Least common multiple can be found by multiplying the highest exponent prime factors of 2324 and 2331. First we will calculate the prime factors of 2324 and 2331.

Prime Factorization of 2324


2 2324
2 1162
7 581
83 83
1

Prime factors of 2324 are 2, 7,83. Prime factorization of 2324 in exponential form is:

2324 = 22×71×831

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 2324 and 2331.

LCM(2324,2331) = 22×32×71×371×831
LCM(2324,2331) = 773892

Factors of 2324

List of positive integer factors of 2324 that divides 2324 without a remainder.

1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324

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 2324 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 2324 and 2331, than apply into the LCM equation.

GCF(2324,2331) = 7
LCM(2324,2331) = ( 2324 × 2331) / 7
LCM(2324,2331) = 5417244 / 7
LCM(2324,2331) = 773892

Properties of LCM 2324 and 2331

(i) The LCM of 2331 and 2324 is associative

LCM of 2324 and 2331 = LCM of 2331 and 2324

Related Least Common Multiples of 2324

Related Least Common Multiples of 2331

Frequently Asked Questions on LCM of 2324 and 2331

1. What is the LCM of 2324 and 2331?

Answer: LCM of 2324 and 2331 is 773892.

2. What are the Factors of 2324?

Answer: Factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324. There are 12 integers that are factors of 2324. The greatest factor of 2324 is 2324.

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 2324 and 2331?

Answer:

Least Common Multiple of 2324 and 2331 = 773892

Step 1: Find the prime factorization of 2324

2324 = 2 x 2 x 7 x 83

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 = 773892 = 2 x 2 x 3 x 3 x 7 x 37 x 83

Step 4: Therefore, the least common multiple of 2324 and 2331 is 773892.