Least Common Multiple of 2324 and 2330

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 2330 the smallest integer that is 2707460 that is divisible by both numbers.

Least Common Multiple (LCM) of 2324 and 2330 is 2707460.

LCM(2324,2330) = 2707460

LCM of 2324 and 2330

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

LCM of:
and

Least Common Multiple of 2324 and 2330

LCM of 2324 and 2330 is 2707460

Least common multiple can be found by multiplying the highest exponent prime factors of 2324 and 2330. First we will calculate the prime factors of 2324 and 2330.

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 2330


2 2330
5 1165
233 233
1

Prime factors of 2330 are 2, 5,233. Prime factorization of 2330 in exponential form is:

2330 = 21×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 2324 and 2330.

LCM(2324,2330) = 22×51×71×831×2331
LCM(2324,2330) = 2707460

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 2330

List of positive integer factors of 2330 that divides 2330 without a remainder.

1, 2, 5, 10, 233, 466, 1165, 2330

Least Common Multiple of 2324 and 2330 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 2330, than apply into the LCM equation.

GCF(2324,2330) = 2
LCM(2324,2330) = ( 2324 × 2330) / 2
LCM(2324,2330) = 5414920 / 2
LCM(2324,2330) = 2707460

Properties of LCM 2324 and 2330

(i) The LCM of 2330 and 2324 is associative

LCM of 2324 and 2330 = LCM of 2330 and 2324

Related Least Common Multiples of 2324

Related Least Common Multiples of 2330

Frequently Asked Questions on LCM of 2324 and 2330

1. What is the LCM of 2324 and 2330?

Answer: LCM of 2324 and 2330 is 2707460.

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 2330?

Answer: Factors of 2330 are 1, 2, 5, 10, 233, 466, 1165, 2330. There are 8 integers that are factors of 2330. The greatest factor of 2330 is 2330.

4. How to Find the LCM of 2324 and 2330?

Answer:

Least Common Multiple of 2324 and 2330 = 2707460

Step 1: Find the prime factorization of 2324

2324 = 2 x 2 x 7 x 83

Step 2: Find the prime factorization of 2330

2330 = 2 x 5 x 233

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

LCM = 2707460 = 2 x 2 x 5 x 7 x 83 x 233

Step 4: Therefore, the least common multiple of 2324 and 2330 is 2707460.