Least Common Multiple of 2330 and 2333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2330 and 2333 the smallest integer that is 5435890 that is divisible by both numbers.

Least Common Multiple (LCM) of 2330 and 2333 is 5435890.

LCM(2330,2333) = 5435890

LCM of 2330 and 2333

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

LCM of:
and

Least Common Multiple of 2330 and 2333

LCM of 2330 and 2333 is 5435890

Least common multiple can be found by multiplying the highest exponent prime factors of 2330 and 2333. First we will calculate the prime factors of 2330 and 2333.

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

Prime Factorization of 2333


2333 2333
1

Prime factors of 2333 are 2333. Prime factorization of 2333 in exponential form is:

2333 = 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 2330 and 2333.

LCM(2330,2333) = 21×51×2331×23331
LCM(2330,2333) = 5435890

Factors of 2330

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

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

Factors of 2333

List of positive integer factors of 2333 that divides 2333 without a remainder.

1, 2333

Least Common Multiple of 2330 and 2333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2330 and 2333, than apply into the LCM equation.

GCF(2330,2333) = 1
LCM(2330,2333) = ( 2330 × 2333) / 1
LCM(2330,2333) = 5435890 / 1
LCM(2330,2333) = 5435890

Properties of LCM 2330 and 2333

(i) The LCM of 2333 and 2330 is associative

LCM of 2330 and 2333 = LCM of 2333 and 2330

Related Least Common Multiples of 2330

Related Least Common Multiples of 2333

Frequently Asked Questions on LCM of 2330 and 2333

1. What is the LCM of 2330 and 2333?

Answer: LCM of 2330 and 2333 is 5435890.

2. 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.

3. What are the Factors of 2333?

Answer: Factors of 2333 are 1, 2333. There are 2 integers that are factors of 2333. The greatest factor of 2333 is 2333.

4. How to Find the LCM of 2330 and 2333?

Answer:

Least Common Multiple of 2330 and 2333 = 5435890

Step 1: Find the prime factorization of 2330

2330 = 2 x 5 x 233

Step 2: Find the prime factorization of 2333

2333 = 2333

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

LCM = 5435890 = 2 x 5 x 233 x 2333

Step 4: Therefore, the least common multiple of 2330 and 2333 is 5435890.