Least Common Multiple of 9299 and 9307
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9299 and 9307 the smallest integer that is 86545793 that is divisible by both numbers.
Least Common Multiple (LCM) of 9299 and 9307 is 86545793.
LCM(9299,9307) = 86545793
LCM of 9299 and 9307
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9299 and 9307 by Prime method
- Least Common Multiple of 9299 and 9307 with GCF Formula
LCM of 9299 and 9307 is 86545793
Least common multiple can be found by multiplying the highest exponent prime factors of 9299 and 9307. First we will calculate the prime factors of 9299 and 9307.
Prime Factorization of 9299
| 17 | 9299 |
| 547 | 547 |
| 1 |
Prime factors of 9299 are 17,547. Prime factorization of 9299 in exponential form is:
9299 = 171×5471
Prime Factorization of 9307
| 41 | 9307 |
| 227 | 227 |
| 1 |
Prime factors of 9307 are 41,227. Prime factorization of 9307 in exponential form is:
9307 = 411×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 9299 and 9307.
LCM(9299,9307) = 171×411×2271×5471
LCM(9299,9307) = 86545793
Factors of 9299
List of positive integer factors of 9299 that divides 9299 without a remainder.
1, 17, 547, 9299
Factors of 9307
List of positive integer factors of 9307 that divides 9307 without a remainder.
1, 41, 227, 9307
Least Common Multiple of 9299 and 9307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9299 and 9307, than apply into the LCM equation.
GCF(9299,9307) = 1
LCM(9299,9307) = ( 9299 × 9307) / 1
LCM(9299,9307) = 86545793 / 1
LCM(9299,9307) = 86545793
Properties of LCM 9299 and 9307
(i) The LCM of 9307 and 9299 is associative
LCM of 9299 and 9307 = LCM of 9307 and 9299
Related Least Common Multiples of 9299
Related Least Common Multiples of 9307
Frequently Asked Questions on LCM of 9299 and 9307
1. What is the LCM of 9299 and 9307?
Answer: LCM of 9299 and 9307 is 86545793.
2. What are the Factors of 9299?
Answer: Factors of 9299 are 1, 17, 547, 9299. There are 4 integers that are factors of 9299. The greatest factor of 9299 is 9299.
3. What are the Factors of 9307?
Answer: Factors of 9307 are 1, 41, 227, 9307. There are 4 integers that are factors of 9307. The greatest factor of 9307 is 9307.
4. How to Find the LCM of 9299 and 9307?
Answer:
Least Common Multiple of 9299 and 9307 = 86545793
Step 1: Find the prime factorization of 9299
9299 = 17 x 547
Step 2: Find the prime factorization of 9307
9307 = 41 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86545793 = 17 x 41 x 227 x 547
Step 4: Therefore, the least common multiple of 9299 and 9307 is 86545793.