Least Common Multiple of 9299 and 9305
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 9305 the smallest integer that is 86527195 that is divisible by both numbers.
Least Common Multiple (LCM) of 9299 and 9305 is 86527195.
LCM(9299,9305) = 86527195
LCM of 9299 and 9305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9299 and 9305 by Prime method
- Least Common Multiple of 9299 and 9305 with GCF Formula
LCM of 9299 and 9305 is 86527195
Least common multiple can be found by multiplying the highest exponent prime factors of 9299 and 9305. First we will calculate the prime factors of 9299 and 9305.
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 9305
| 5 | 9305 |
| 1861 | 1861 |
| 1 |
Prime factors of 9305 are 5,1861. Prime factorization of 9305 in exponential form is:
9305 = 51×18611
Now multiplying the highest exponent prime factors to calculate the LCM of 9299 and 9305.
LCM(9299,9305) = 51×171×5471×18611
LCM(9299,9305) = 86527195
Factors of 9299
List of positive integer factors of 9299 that divides 9299 without a remainder.
1, 17, 547, 9299
Factors of 9305
List of positive integer factors of 9305 that divides 9305 without a remainder.
1, 5, 1861, 9305
Least Common Multiple of 9299 and 9305 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 9305, than apply into the LCM equation.
GCF(9299,9305) = 1
LCM(9299,9305) = ( 9299 × 9305) / 1
LCM(9299,9305) = 86527195 / 1
LCM(9299,9305) = 86527195
Properties of LCM 9299 and 9305
(i) The LCM of 9305 and 9299 is associative
LCM of 9299 and 9305 = LCM of 9305 and 9299
Related Least Common Multiples of 9299
Related Least Common Multiples of 9305
Frequently Asked Questions on LCM of 9299 and 9305
1. What is the LCM of 9299 and 9305?
Answer: LCM of 9299 and 9305 is 86527195.
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 9305?
Answer: Factors of 9305 are 1, 5, 1861, 9305. There are 4 integers that are factors of 9305. The greatest factor of 9305 is 9305.
4. How to Find the LCM of 9299 and 9305?
Answer:
Least Common Multiple of 9299 and 9305 = 86527195
Step 1: Find the prime factorization of 9299
9299 = 17 x 547
Step 2: Find the prime factorization of 9305
9305 = 5 x 1861
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86527195 = 5 x 17 x 547 x 1861
Step 4: Therefore, the least common multiple of 9299 and 9305 is 86527195.