Least Common Multiple of 329 and 333
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 329 and 333 the smallest integer that is 109557 that is divisible by both numbers.
Least Common Multiple (LCM) of 329 and 333 is 109557.
LCM(329,333) = 109557
LCM of 329 and 333
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 329 and 333 by Prime method
- Least Common Multiple of 329 and 333 with GCF Formula
LCM of 329 and 333 is 109557
Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 333. First we will calculate the prime factors of 329 and 333.
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
Prime Factorization of 333
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:
333 = 32×371
Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 333.
LCM(329,333) = 32×71×371×471
LCM(329,333) = 109557
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Least Common Multiple of 329 and 333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 333, than apply into the LCM equation.
GCF(329,333) = 1
LCM(329,333) = ( 329 × 333) / 1
LCM(329,333) = 109557 / 1
LCM(329,333) = 109557
Properties of LCM 329 and 333
(i) The LCM of 333 and 329 is associative
LCM of 329 and 333 = LCM of 333 and 329
Related Least Common Multiples of 329
Related Least Common Multiples of 333
Frequently Asked Questions on LCM of 329 and 333
1. What is the LCM of 329 and 333?
Answer: LCM of 329 and 333 is 109557.
2. 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.
3. What are the Factors of 333?
Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.
4. How to Find the LCM of 329 and 333?
Answer:
Least Common Multiple of 329 and 333 = 109557
Step 1: Find the prime factorization of 329
329 = 7 x 47
Step 2: Find the prime factorization of 333
333 = 3 x 3 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109557 = 3 x 3 x 7 x 37 x 47
Step 4: Therefore, the least common multiple of 329 and 333 is 109557.
