Least Common Multiple of 8319 and 8323
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8319 and 8323 the smallest integer that is 69239037 that is divisible by both numbers.
Least Common Multiple (LCM) of 8319 and 8323 is 69239037.
LCM(8319,8323) = 69239037
LCM of 8319 and 8323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8319 and 8323 by Prime method
- Least Common Multiple of 8319 and 8323 with GCF Formula
LCM of 8319 and 8323 is 69239037
Least common multiple can be found by multiplying the highest exponent prime factors of 8319 and 8323. First we will calculate the prime factors of 8319 and 8323.
Prime Factorization of 8319
| 3 | 8319 |
| 47 | 2773 |
| 59 | 59 |
| 1 |
Prime factors of 8319 are 3, 47,59. Prime factorization of 8319 in exponential form is:
8319 = 31×471×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8319 and 8323.
LCM(8319,8323) = 31×71×291×411×471×591
LCM(8319,8323) = 69239037
Factors of 8319
List of positive integer factors of 8319 that divides 8319 without a remainder.
1, 3, 47, 59, 141, 177, 2773, 8319
Factors of 8323
List of positive integer factors of 8323 that divides 8323 without a remainder.
1, 7, 29, 41, 203, 287, 1189, 8323
Least Common Multiple of 8319 and 8323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8319 and 8323, than apply into the LCM equation.
GCF(8319,8323) = 1
LCM(8319,8323) = ( 8319 × 8323) / 1
LCM(8319,8323) = 69239037 / 1
LCM(8319,8323) = 69239037
Properties of LCM 8319 and 8323
(i) The LCM of 8323 and 8319 is associative
LCM of 8319 and 8323 = LCM of 8323 and 8319
Related Least Common Multiples of 8319
Related Least Common Multiples of 8323
Frequently Asked Questions on LCM of 8319 and 8323
1. What is the LCM of 8319 and 8323?
Answer: LCM of 8319 and 8323 is 69239037.
2. What are the Factors of 8319?
Answer: Factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319. There are 8 integers that are factors of 8319. The greatest factor of 8319 is 8319.
3. 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.
4. How to Find the LCM of 8319 and 8323?
Answer:
Least Common Multiple of 8319 and 8323 = 69239037
Step 1: Find the prime factorization of 8319
8319 = 3 x 47 x 59
Step 2: Find the prime factorization of 8323
8323 = 7 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69239037 = 3 x 7 x 29 x 41 x 47 x 59
Step 4: Therefore, the least common multiple of 8319 and 8323 is 69239037.