Least Common Multiple of 2303 and 2311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2303 and 2311 the smallest integer that is 5322233 that is divisible by both numbers.

Least Common Multiple (LCM) of 2303 and 2311 is 5322233.

LCM(2303,2311) = 5322233

LCM of 2303 and 2311

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

LCM of:
and

Least Common Multiple of 2303 and 2311

LCM of 2303 and 2311 is 5322233

Least common multiple can be found by multiplying the highest exponent prime factors of 2303 and 2311. First we will calculate the prime factors of 2303 and 2311.

Prime Factorization of 2303


7 2303
7 329
47 47
1

Prime factors of 2303 are 7,47. Prime factorization of 2303 in exponential form is:

2303 = 72×471

Prime Factorization of 2311


2311 2311
1

Prime factors of 2311 are 2311. Prime factorization of 2311 in exponential form is:

2311 = 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 2303 and 2311.

LCM(2303,2311) = 72×471×23111
LCM(2303,2311) = 5322233

Factors of 2303

List of positive integer factors of 2303 that divides 2303 without a remainder.

1, 7, 47, 49, 329, 2303

Factors of 2311

List of positive integer factors of 2311 that divides 2311 without a remainder.

1, 2311

Least Common Multiple of 2303 and 2311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2303 and 2311, than apply into the LCM equation.

GCF(2303,2311) = 1
LCM(2303,2311) = ( 2303 × 2311) / 1
LCM(2303,2311) = 5322233 / 1
LCM(2303,2311) = 5322233

Properties of LCM 2303 and 2311

(i) The LCM of 2311 and 2303 is associative

LCM of 2303 and 2311 = LCM of 2311 and 2303

Related Least Common Multiples of 2303

Related Least Common Multiples of 2311

Frequently Asked Questions on LCM of 2303 and 2311

1. What is the LCM of 2303 and 2311?

Answer: LCM of 2303 and 2311 is 5322233.

2. What are the Factors of 2303?

Answer: Factors of 2303 are 1, 7, 47, 49, 329, 2303. There are 6 integers that are factors of 2303. The greatest factor of 2303 is 2303.

3. What are the Factors of 2311?

Answer: Factors of 2311 are 1, 2311. There are 2 integers that are factors of 2311. The greatest factor of 2311 is 2311.

4. How to Find the LCM of 2303 and 2311?

Answer:

Least Common Multiple of 2303 and 2311 = 5322233

Step 1: Find the prime factorization of 2303

2303 = 7 x 7 x 47

Step 2: Find the prime factorization of 2311

2311 = 2311

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

LCM = 5322233 = 7 x 7 x 47 x 2311

Step 4: Therefore, the least common multiple of 2303 and 2311 is 5322233.