Least Common Multiple of 323 and 329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 323 and 329 the smallest integer that is 106267 that is divisible by both numbers.
Least Common Multiple (LCM) of 323 and 329 is 106267.
LCM(323,329) = 106267
LCM of 323 and 329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 323 and 329 by Prime method
- Least Common Multiple of 323 and 329 with GCF Formula
LCM of 323 and 329 is 106267
Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 329. First we will calculate the prime factors of 323 and 329.
Prime Factorization of 323
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:
323 = 171×191
Prime Factorization of 329
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:
329 = 71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 323 and 329.
LCM(323,329) = 71×171×191×471
LCM(323,329) = 106267
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Least Common Multiple of 323 and 329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 323 and 329, than apply into the LCM equation.
GCF(323,329) = 1
LCM(323,329) = ( 323 × 329) / 1
LCM(323,329) = 106267 / 1
LCM(323,329) = 106267
Properties of LCM 323 and 329
(i) The LCM of 329 and 323 is associative
LCM of 323 and 329 = LCM of 329 and 323
Related Least Common Multiples of 323
Related Least Common Multiples of 329
Frequently Asked Questions on LCM of 323 and 329
1. What is the LCM of 323 and 329?
Answer: LCM of 323 and 329 is 106267.
2. What are the Factors of 323?
Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.
3. What are the Factors of 329?
Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.
4. How to Find the LCM of 323 and 329?
Answer:
Least Common Multiple of 323 and 329 = 106267
Step 1: Find the prime factorization of 323
323 = 17 x 19
Step 2: Find the prime factorization of 329
329 = 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106267 = 7 x 17 x 19 x 47
Step 4: Therefore, the least common multiple of 323 and 329 is 106267.
