Least Common Multiple of 9309 and 9317
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9309 and 9317 the smallest integer that is 86731953 that is divisible by both numbers.
Least Common Multiple (LCM) of 9309 and 9317 is 86731953.
LCM(9309,9317) = 86731953
LCM of 9309 and 9317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9309 and 9317 by Prime method
- Least Common Multiple of 9309 and 9317 with GCF Formula
LCM of 9309 and 9317 is 86731953
Least common multiple can be found by multiplying the highest exponent prime factors of 9309 and 9317. First we will calculate the prime factors of 9309 and 9317.
Prime Factorization of 9309
| 3 | 9309 |
| 29 | 3103 |
| 107 | 107 |
| 1 |
Prime factors of 9309 are 3, 29,107. Prime factorization of 9309 in exponential form is:
9309 = 31×291×1071
Prime Factorization of 9317
| 7 | 9317 |
| 11 | 1331 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 9317 are 7,11. Prime factorization of 9317 in exponential form is:
9317 = 71×113
Now multiplying the highest exponent prime factors to calculate the LCM of 9309 and 9317.
LCM(9309,9317) = 31×71×113×291×1071
LCM(9309,9317) = 86731953
Factors of 9309
List of positive integer factors of 9309 that divides 9309 without a remainder.
1, 3, 29, 87, 107, 321, 3103, 9309
Factors of 9317
List of positive integer factors of 9317 that divides 9317 without a remainder.
1, 7, 11, 77, 121, 847, 1331, 9317
Least Common Multiple of 9309 and 9317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9309 and 9317, than apply into the LCM equation.
GCF(9309,9317) = 1
LCM(9309,9317) = ( 9309 × 9317) / 1
LCM(9309,9317) = 86731953 / 1
LCM(9309,9317) = 86731953
Properties of LCM 9309 and 9317
(i) The LCM of 9317 and 9309 is associative
LCM of 9309 and 9317 = LCM of 9317 and 9309
Related Least Common Multiples of 9309
Related Least Common Multiples of 9317
Frequently Asked Questions on LCM of 9309 and 9317
1. What is the LCM of 9309 and 9317?
Answer: LCM of 9309 and 9317 is 86731953.
2. What are the Factors of 9309?
Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.
3. What are the Factors of 9317?
Answer: Factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317. There are 8 integers that are factors of 9317. The greatest factor of 9317 is 9317.
4. How to Find the LCM of 9309 and 9317?
Answer:
Least Common Multiple of 9309 and 9317 = 86731953
Step 1: Find the prime factorization of 9309
9309 = 3 x 29 x 107
Step 2: Find the prime factorization of 9317
9317 = 7 x 11 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86731953 = 3 x 7 x 11 x 11 x 11 x 29 x 107
Step 4: Therefore, the least common multiple of 9309 and 9317 is 86731953.