Least Common Multiple of 2299 and 2307
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 2307 the smallest integer that is 5303793 that is divisible by both numbers.
Least Common Multiple (LCM) of 2299 and 2307 is 5303793.
LCM(2299,2307) = 5303793
LCM of 2299 and 2307
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2299 and 2307 by Prime method
- Least Common Multiple of 2299 and 2307 with GCF Formula
LCM of 2299 and 2307 is 5303793
Least common multiple can be found by multiplying the highest exponent prime factors of 2299 and 2307. First we will calculate the prime factors of 2299 and 2307.
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 2307
| 3 | 2307 |
| 769 | 769 |
| 1 |
Prime factors of 2307 are 3,769. Prime factorization of 2307 in exponential form is:
2307 = 31×7691
Now multiplying the highest exponent prime factors to calculate the LCM of 2299 and 2307.
LCM(2299,2307) = 31×112×191×7691
LCM(2299,2307) = 5303793
Factors of 2299
List of positive integer factors of 2299 that divides 2299 without a remainder.
1, 11, 19, 121, 209, 2299
Factors of 2307
List of positive integer factors of 2307 that divides 2307 without a remainder.
1, 3, 769, 2307
Least Common Multiple of 2299 and 2307 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 2307, than apply into the LCM equation.
GCF(2299,2307) = 1
LCM(2299,2307) = ( 2299 × 2307) / 1
LCM(2299,2307) = 5303793 / 1
LCM(2299,2307) = 5303793
Properties of LCM 2299 and 2307
(i) The LCM of 2307 and 2299 is associative
LCM of 2299 and 2307 = LCM of 2307 and 2299
Related Least Common Multiples of 2299
Related Least Common Multiples of 2307
Frequently Asked Questions on LCM of 2299 and 2307
1. What is the LCM of 2299 and 2307?
Answer: LCM of 2299 and 2307 is 5303793.
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 2307?
Answer: Factors of 2307 are 1, 3, 769, 2307. There are 4 integers that are factors of 2307. The greatest factor of 2307 is 2307.
4. How to Find the LCM of 2299 and 2307?
Answer:
Least Common Multiple of 2299 and 2307 = 5303793
Step 1: Find the prime factorization of 2299
2299 = 11 x 11 x 19
Step 2: Find the prime factorization of 2307
2307 = 3 x 769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5303793 = 3 x 11 x 11 x 19 x 769
Step 4: Therefore, the least common multiple of 2299 and 2307 is 5303793.