Least Common Multiple of 2299 and 2300

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 2300 the smallest integer that is 5287700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2299 and 2300 is 5287700.

LCM(2299,2300) = 5287700

LCM of 2299 and 2300

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

LCM of:
and

Least Common Multiple of 2299 and 2300

LCM of 2299 and 2300 is 5287700

Least common multiple can be found by multiplying the highest exponent prime factors of 2299 and 2300. First we will calculate the prime factors of 2299 and 2300.

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 2300


2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 2300 are 2, 5,23. Prime factorization of 2300 in exponential form is:

2300 = 22×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2299 and 2300.

LCM(2299,2300) = 22×52×112×191×231
LCM(2299,2300) = 5287700

Factors of 2299

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

1, 11, 19, 121, 209, 2299

Factors of 2300

List of positive integer factors of 2300 that divides 2300 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300

Least Common Multiple of 2299 and 2300 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 2300, than apply into the LCM equation.

GCF(2299,2300) = 1
LCM(2299,2300) = ( 2299 × 2300) / 1
LCM(2299,2300) = 5287700 / 1
LCM(2299,2300) = 5287700

Properties of LCM 2299 and 2300

(i) The LCM of 2300 and 2299 is associative

LCM of 2299 and 2300 = LCM of 2300 and 2299

Related Least Common Multiples of 2299

Related Least Common Multiples of 2300

Frequently Asked Questions on LCM of 2299 and 2300

1. What is the LCM of 2299 and 2300?

Answer: LCM of 2299 and 2300 is 5287700.

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 2300?

Answer: Factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300. There are 18 integers that are factors of 2300. The greatest factor of 2300 is 2300.

4. How to Find the LCM of 2299 and 2300?

Answer:

Least Common Multiple of 2299 and 2300 = 5287700

Step 1: Find the prime factorization of 2299

2299 = 11 x 11 x 19

Step 2: Find the prime factorization of 2300

2300 = 2 x 2 x 5 x 5 x 23

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

LCM = 5287700 = 2 x 2 x 5 x 5 x 11 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 2299 and 2300 is 5287700.