Least Common Multiple of 322 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 322 and 329 the smallest integer that is 15134 that is divisible by both numbers.
Least Common Multiple (LCM) of 322 and 329 is 15134.
LCM(322,329) = 15134
LCM of 322 and 329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 322 and 329 by Prime method
- Least Common Multiple of 322 and 329 with GCF Formula
LCM of 322 and 329 is 15134
Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 329. First we will calculate the prime factors of 322 and 329.
Prime Factorization of 322
| 2 | 322 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 322 are 2, 7,23. Prime factorization of 322 in exponential form is:
322 = 21×71×231
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 322 and 329.
LCM(322,329) = 21×71×231×471
LCM(322,329) = 15134
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Least Common Multiple of 322 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 322 and 329, than apply into the LCM equation.
GCF(322,329) = 7
LCM(322,329) = ( 322 × 329) / 7
LCM(322,329) = 105938 / 7
LCM(322,329) = 15134
Properties of LCM 322 and 329
(i) The LCM of 329 and 322 is associative
LCM of 322 and 329 = LCM of 329 and 322
Related Least Common Multiples of 322
Related Least Common Multiples of 329
Frequently Asked Questions on LCM of 322 and 329
1. What is the LCM of 322 and 329?
Answer: LCM of 322 and 329 is 15134.
2. What are the Factors of 322?
Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.
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 322 and 329?
Answer:
Least Common Multiple of 322 and 329 = 15134
Step 1: Find the prime factorization of 322
322 = 2 x 7 x 23
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 = 15134 = 2 x 7 x 23 x 47
Step 4: Therefore, the least common multiple of 322 and 329 is 15134.