Least Common Multiple of 9329 and 9331
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9329 and 9331 the smallest integer that is 87048899 that is divisible by both numbers.
Least Common Multiple (LCM) of 9329 and 9331 is 87048899.
LCM(9329,9331) = 87048899
LCM of 9329 and 9331
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9329 and 9331 by Prime method
- Least Common Multiple of 9329 and 9331 with GCF Formula
LCM of 9329 and 9331 is 87048899
Least common multiple can be found by multiplying the highest exponent prime factors of 9329 and 9331. First we will calculate the prime factors of 9329 and 9331.
Prime Factorization of 9329
| 19 | 9329 |
| 491 | 491 |
| 1 |
Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:
9329 = 191×4911
Prime Factorization of 9331
| 7 | 9331 |
| 31 | 1333 |
| 43 | 43 |
| 1 |
Prime factors of 9331 are 7, 31,43. Prime factorization of 9331 in exponential form is:
9331 = 71×311×431
Now multiplying the highest exponent prime factors to calculate the LCM of 9329 and 9331.
LCM(9329,9331) = 71×191×311×431×4911
LCM(9329,9331) = 87048899
Factors of 9329
List of positive integer factors of 9329 that divides 9329 without a remainder.
1, 19, 491, 9329
Factors of 9331
List of positive integer factors of 9331 that divides 9331 without a remainder.
1, 7, 31, 43, 217, 301, 1333, 9331
Least Common Multiple of 9329 and 9331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9329 and 9331, than apply into the LCM equation.
GCF(9329,9331) = 1
LCM(9329,9331) = ( 9329 × 9331) / 1
LCM(9329,9331) = 87048899 / 1
LCM(9329,9331) = 87048899
Properties of LCM 9329 and 9331
(i) The LCM of 9331 and 9329 is associative
LCM of 9329 and 9331 = LCM of 9331 and 9329
Related Least Common Multiples of 9329
Related Least Common Multiples of 9331
Frequently Asked Questions on LCM of 9329 and 9331
1. What is the LCM of 9329 and 9331?
Answer: LCM of 9329 and 9331 is 87048899.
2. What are the Factors of 9329?
Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.
3. What are the Factors of 9331?
Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.
4. How to Find the LCM of 9329 and 9331?
Answer:
Least Common Multiple of 9329 and 9331 = 87048899
Step 1: Find the prime factorization of 9329
9329 = 19 x 491
Step 2: Find the prime factorization of 9331
9331 = 7 x 31 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87048899 = 7 x 19 x 31 x 43 x 491
Step 4: Therefore, the least common multiple of 9329 and 9331 is 87048899.