Least Common Multiple of 9317 and 9323
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9317 and 9323 the smallest integer that is 86862391 that is divisible by both numbers.
Least Common Multiple (LCM) of 9317 and 9323 is 86862391.
LCM(9317,9323) = 86862391
LCM of 9317 and 9323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9317 and 9323 by Prime method
- Least Common Multiple of 9317 and 9323 with GCF Formula
LCM of 9317 and 9323 is 86862391
Least common multiple can be found by multiplying the highest exponent prime factors of 9317 and 9323. First we will calculate the prime factors of 9317 and 9323.
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
Prime Factorization of 9323
| 9323 | 9323 |
| 1 |
Prime factors of 9323 are 9323. Prime factorization of 9323 in exponential form is:
9323 = 93231
Now multiplying the highest exponent prime factors to calculate the LCM of 9317 and 9323.
LCM(9317,9323) = 71×113×93231
LCM(9317,9323) = 86862391
Factors of 9317
List of positive integer factors of 9317 that divides 9317 without a remainder.
1, 7, 11, 77, 121, 847, 1331, 9317
Factors of 9323
List of positive integer factors of 9323 that divides 9323 without a remainder.
1, 9323
Least Common Multiple of 9317 and 9323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9317 and 9323, than apply into the LCM equation.
GCF(9317,9323) = 1
LCM(9317,9323) = ( 9317 × 9323) / 1
LCM(9317,9323) = 86862391 / 1
LCM(9317,9323) = 86862391
Properties of LCM 9317 and 9323
(i) The LCM of 9323 and 9317 is associative
LCM of 9317 and 9323 = LCM of 9323 and 9317
Related Least Common Multiples of 9317
Related Least Common Multiples of 9323
Frequently Asked Questions on LCM of 9317 and 9323
1. What is the LCM of 9317 and 9323?
Answer: LCM of 9317 and 9323 is 86862391.
2. 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.
3. What are the Factors of 9323?
Answer: Factors of 9323 are 1, 9323. There are 2 integers that are factors of 9323. The greatest factor of 9323 is 9323.
4. How to Find the LCM of 9317 and 9323?
Answer:
Least Common Multiple of 9317 and 9323 = 86862391
Step 1: Find the prime factorization of 9317
9317 = 7 x 11 x 11 x 11
Step 2: Find the prime factorization of 9323
9323 = 9323
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86862391 = 7 x 11 x 11 x 11 x 9323
Step 4: Therefore, the least common multiple of 9317 and 9323 is 86862391.