Least Common Multiple of 8323 and 8331
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8323 and 8331 the smallest integer that is 69338913 that is divisible by both numbers.
Least Common Multiple (LCM) of 8323 and 8331 is 69338913.
LCM(8323,8331) = 69338913
LCM of 8323 and 8331
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8323 and 8331 by Prime method
- Least Common Multiple of 8323 and 8331 with GCF Formula
LCM of 8323 and 8331 is 69338913
Least common multiple can be found by multiplying the highest exponent prime factors of 8323 and 8331. First we will calculate the prime factors of 8323 and 8331.
Prime Factorization of 8323
| 7 | 8323 |
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 8323 are 7, 29,41. Prime factorization of 8323 in exponential form is:
8323 = 71×291×411
Prime Factorization of 8331
| 3 | 8331 |
| 2777 | 2777 |
| 1 |
Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:
8331 = 31×27771
Now multiplying the highest exponent prime factors to calculate the LCM of 8323 and 8331.
LCM(8323,8331) = 31×71×291×411×27771
LCM(8323,8331) = 69338913
Factors of 8323
List of positive integer factors of 8323 that divides 8323 without a remainder.
1, 7, 29, 41, 203, 287, 1189, 8323
Factors of 8331
List of positive integer factors of 8331 that divides 8331 without a remainder.
1, 3, 2777, 8331
Least Common Multiple of 8323 and 8331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8323 and 8331, than apply into the LCM equation.
GCF(8323,8331) = 1
LCM(8323,8331) = ( 8323 × 8331) / 1
LCM(8323,8331) = 69338913 / 1
LCM(8323,8331) = 69338913
Properties of LCM 8323 and 8331
(i) The LCM of 8331 and 8323 is associative
LCM of 8323 and 8331 = LCM of 8331 and 8323
Related Least Common Multiples of 8323
Related Least Common Multiples of 8331
Frequently Asked Questions on LCM of 8323 and 8331
1. What is the LCM of 8323 and 8331?
Answer: LCM of 8323 and 8331 is 69338913.
2. What are the Factors of 8323?
Answer: Factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323. There are 8 integers that are factors of 8323. The greatest factor of 8323 is 8323.
3. What are the Factors of 8331?
Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.
4. How to Find the LCM of 8323 and 8331?
Answer:
Least Common Multiple of 8323 and 8331 = 69338913
Step 1: Find the prime factorization of 8323
8323 = 7 x 29 x 41
Step 2: Find the prime factorization of 8331
8331 = 3 x 2777
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69338913 = 3 x 7 x 29 x 41 x 2777
Step 4: Therefore, the least common multiple of 8323 and 8331 is 69338913.