Least Common Multiple of 2299 and 2303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2299 and 2303 the smallest integer that is 5294597 that is divisible by both numbers.

Least Common Multiple (LCM) of 2299 and 2303 is 5294597.

LCM(2299,2303) = 5294597

LCM of 2299 and 2303

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

LCM of:
and

Least Common Multiple of 2299 and 2303

LCM of 2299 and 2303 is 5294597

Least common multiple can be found by multiplying the highest exponent prime factors of 2299 and 2303. First we will calculate the prime factors of 2299 and 2303.

Prime Factorization of 2299


11 2299
11 209
19 19
1

Prime factors of 2299 are 11,19. Prime factorization of 2299 in exponential form is:

2299 = 112×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2299 and 2303.

LCM(2299,2303) = 72×112×191×471
LCM(2299,2303) = 5294597

Factors of 2299

List of positive integer factors of 2299 that divides 2299 without a remainder.

1, 11, 19, 121, 209, 2299

Factors of 2303

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

1, 7, 47, 49, 329, 2303

Least Common Multiple of 2299 and 2303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2299 and 2303, than apply into the LCM equation.

GCF(2299,2303) = 1
LCM(2299,2303) = ( 2299 × 2303) / 1
LCM(2299,2303) = 5294597 / 1
LCM(2299,2303) = 5294597

Properties of LCM 2299 and 2303

(i) The LCM of 2303 and 2299 is associative

LCM of 2299 and 2303 = LCM of 2303 and 2299

Related Least Common Multiples of 2299

Related Least Common Multiples of 2303

Frequently Asked Questions on LCM of 2299 and 2303

1. What is the LCM of 2299 and 2303?

Answer: LCM of 2299 and 2303 is 5294597.

2. What are the Factors of 2299?

Answer: Factors of 2299 are 1, 11, 19, 121, 209, 2299. There are 6 integers that are factors of 2299. The greatest factor of 2299 is 2299.

3. 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.

4. How to Find the LCM of 2299 and 2303?

Answer:

Least Common Multiple of 2299 and 2303 = 5294597

Step 1: Find the prime factorization of 2299

2299 = 11 x 11 x 19

Step 2: Find the prime factorization of 2303

2303 = 7 x 7 x 47

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

LCM = 5294597 = 7 x 7 x 11 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 2299 and 2303 is 5294597.