Least Common Multiple of 325 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 325 and 333 the smallest integer that is 108225 that is divisible by both numbers.
Least Common Multiple (LCM) of 325 and 333 is 108225.
LCM(325,333) = 108225
LCM of 325 and 333
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 325 and 333 by Prime method
- Least Common Multiple of 325 and 333 with GCF Formula
LCM of 325 and 333 is 108225
Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 333. First we will calculate the prime factors of 325 and 333.
Prime Factorization of 325
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:
325 = 52×131
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 325 and 333.
LCM(325,333) = 32×52×131×371
LCM(325,333) = 108225
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
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 325 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 325 and 333, than apply into the LCM equation.
GCF(325,333) = 1
LCM(325,333) = ( 325 × 333) / 1
LCM(325,333) = 108225 / 1
LCM(325,333) = 108225
Properties of LCM 325 and 333
(i) The LCM of 333 and 325 is associative
LCM of 325 and 333 = LCM of 333 and 325
Related Least Common Multiples of 325
Related Least Common Multiples of 333
Frequently Asked Questions on LCM of 325 and 333
1. What is the LCM of 325 and 333?
Answer: LCM of 325 and 333 is 108225.
2. What are the Factors of 325?
Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.
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 325 and 333?
Answer:
Least Common Multiple of 325 and 333 = 108225
Step 1: Find the prime factorization of 325
325 = 5 x 5 x 13
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 = 108225 = 3 x 3 x 5 x 5 x 13 x 37
Step 4: Therefore, the least common multiple of 325 and 333 is 108225.
