Least Common Multiple of 2323 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 2323 and 2330 the smallest integer that is 5412590 that is divisible by both numbers.

Least Common Multiple (LCM) of 2323 and 2330 is 5412590.

LCM(2323,2330) = 5412590

LCM of 2323 and 2330

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

LCM of:
and

Least Common Multiple of 2323 and 2330

LCM of 2323 and 2330 is 5412590

Least common multiple can be found by multiplying the highest exponent prime factors of 2323 and 2330. First we will calculate the prime factors of 2323 and 2330.

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 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 2323 and 2330.

LCM(2323,2330) = 21×51×231×1011×2331
LCM(2323,2330) = 5412590

Factors of 2323

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

1, 23, 101, 2323

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 2323 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 2323 and 2330, than apply into the LCM equation.

GCF(2323,2330) = 1
LCM(2323,2330) = ( 2323 × 2330) / 1
LCM(2323,2330) = 5412590 / 1
LCM(2323,2330) = 5412590

Properties of LCM 2323 and 2330

(i) The LCM of 2330 and 2323 is associative

LCM of 2323 and 2330 = LCM of 2330 and 2323

Related Least Common Multiples of 2323

Related Least Common Multiples of 2330

Frequently Asked Questions on LCM of 2323 and 2330

1. What is the LCM of 2323 and 2330?

Answer: LCM of 2323 and 2330 is 5412590.

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 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 2323 and 2330?

Answer:

Least Common Multiple of 2323 and 2330 = 5412590

Step 1: Find the prime factorization of 2323

2323 = 23 x 101

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 = 5412590 = 2 x 5 x 23 x 101 x 233

Step 4: Therefore, the least common multiple of 2323 and 2330 is 5412590.