Least Common Multiple of 8322 and 8329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8322 and 8329 the smallest integer that is 69313938 that is divisible by both numbers.
Least Common Multiple (LCM) of 8322 and 8329 is 69313938.
LCM(8322,8329) = 69313938
LCM of 8322 and 8329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8322 and 8329 by Prime method
- Least Common Multiple of 8322 and 8329 with GCF Formula
LCM of 8322 and 8329 is 69313938
Least common multiple can be found by multiplying the highest exponent prime factors of 8322 and 8329. First we will calculate the prime factors of 8322 and 8329.
Prime Factorization of 8322
| 2 | 8322 |
| 3 | 4161 |
| 19 | 1387 |
| 73 | 73 |
| 1 |
Prime factors of 8322 are 2, 3, 19,73. Prime factorization of 8322 in exponential form is:
8322 = 21×31×191×731
Prime Factorization of 8329
| 8329 | 8329 |
| 1 |
Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:
8329 = 83291
Now multiplying the highest exponent prime factors to calculate the LCM of 8322 and 8329.
LCM(8322,8329) = 21×31×191×731×83291
LCM(8322,8329) = 69313938
Factors of 8322
List of positive integer factors of 8322 that divides 8322 without a remainder.
1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
Factors of 8329
List of positive integer factors of 8329 that divides 8329 without a remainder.
1, 8329
Least Common Multiple of 8322 and 8329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8322 and 8329, than apply into the LCM equation.
GCF(8322,8329) = 1
LCM(8322,8329) = ( 8322 × 8329) / 1
LCM(8322,8329) = 69313938 / 1
LCM(8322,8329) = 69313938
Properties of LCM 8322 and 8329
(i) The LCM of 8329 and 8322 is associative
LCM of 8322 and 8329 = LCM of 8329 and 8322
Related Least Common Multiples of 8322
Related Least Common Multiples of 8329
Frequently Asked Questions on LCM of 8322 and 8329
1. What is the LCM of 8322 and 8329?
Answer: LCM of 8322 and 8329 is 69313938.
2. What are the Factors of 8322?
Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.
3. What are the Factors of 8329?
Answer: Factors of 8329 are 1, 8329. There are 2 integers that are factors of 8329. The greatest factor of 8329 is 8329.
4. How to Find the LCM of 8322 and 8329?
Answer:
Least Common Multiple of 8322 and 8329 = 69313938
Step 1: Find the prime factorization of 8322
8322 = 2 x 3 x 19 x 73
Step 2: Find the prime factorization of 8329
8329 = 8329
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69313938 = 2 x 3 x 19 x 73 x 8329
Step 4: Therefore, the least common multiple of 8322 and 8329 is 69313938.