Least Common Multiple of 9303 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 9303 and 9307 the smallest integer that is 86583021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9303 and 9307 is 86583021.
LCM(9303,9307) = 86583021
LCM of 9303 and 9307
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9303 and 9307 by Prime method
- Least Common Multiple of 9303 and 9307 with GCF Formula
LCM of 9303 and 9307 is 86583021
Least common multiple can be found by multiplying the highest exponent prime factors of 9303 and 9307. First we will calculate the prime factors of 9303 and 9307.
Prime Factorization of 9303
| 3 | 9303 |
| 7 | 3101 |
| 443 | 443 |
| 1 |
Prime factors of 9303 are 3, 7,443. Prime factorization of 9303 in exponential form is:
9303 = 31×71×4431
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 9303 and 9307.
LCM(9303,9307) = 31×71×411×2271×4431
LCM(9303,9307) = 86583021
Factors of 9303
List of positive integer factors of 9303 that divides 9303 without a remainder.
1, 3, 7, 21, 443, 1329, 3101, 9303
Factors of 9307
List of positive integer factors of 9307 that divides 9307 without a remainder.
1, 41, 227, 9307
Least Common Multiple of 9303 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 9303 and 9307, than apply into the LCM equation.
GCF(9303,9307) = 1
LCM(9303,9307) = ( 9303 × 9307) / 1
LCM(9303,9307) = 86583021 / 1
LCM(9303,9307) = 86583021
Properties of LCM 9303 and 9307
(i) The LCM of 9307 and 9303 is associative
LCM of 9303 and 9307 = LCM of 9307 and 9303
Related Least Common Multiples of 9303
Related Least Common Multiples of 9307
Frequently Asked Questions on LCM of 9303 and 9307
1. What is the LCM of 9303 and 9307?
Answer: LCM of 9303 and 9307 is 86583021.
2. What are the Factors of 9303?
Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.
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 9303 and 9307?
Answer:
Least Common Multiple of 9303 and 9307 = 86583021
Step 1: Find the prime factorization of 9303
9303 = 3 x 7 x 443
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 = 86583021 = 3 x 7 x 41 x 227 x 443
Step 4: Therefore, the least common multiple of 9303 and 9307 is 86583021.