Least Common Multiple of 17325 and 17333
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17325 and 17333 the smallest integer that is 300294225 that is divisible by both numbers.
Least Common Multiple (LCM) of 17325 and 17333 is 300294225.
LCM(17325,17333) = 300294225
LCM of 17325 and 17333
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17325 and 17333 by Prime method
- Least Common Multiple of 17325 and 17333 with GCF Formula
LCM of 17325 and 17333 is 300294225
Least common multiple can be found by multiplying the highest exponent prime factors of 17325 and 17333. First we will calculate the prime factors of 17325 and 17333.
Prime Factorization of 17325
| 3 | 17325 |
| 3 | 5775 |
| 5 | 1925 |
| 5 | 385 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 17325 are 3, 5, 7,11. Prime factorization of 17325 in exponential form is:
17325 = 32×52×71×111
Prime Factorization of 17333
| 17333 | 17333 |
| 1 |
Prime factors of 17333 are 17333. Prime factorization of 17333 in exponential form is:
17333 = 173331
Now multiplying the highest exponent prime factors to calculate the LCM of 17325 and 17333.
LCM(17325,17333) = 32×52×71×111×173331
LCM(17325,17333) = 300294225
Factors of 17325
List of positive integer factors of 17325 that divides 17325 without a remainder.
1, 3, 5, 7, 9, 11, 15, 21, 25, 33, 35, 45, 55, 63, 75, 77, 99, 105, 165, 175, 225, 231, 275, 315, 385, 495, 525, 693, 825, 1155, 1575, 1925, 2475, 3465, 5775, 17325
Factors of 17333
List of positive integer factors of 17333 that divides 17333 without a remainder.
1, 17333
Least Common Multiple of 17325 and 17333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17325 and 17333, than apply into the LCM equation.
GCF(17325,17333) = 1
LCM(17325,17333) = ( 17325 × 17333) / 1
LCM(17325,17333) = 300294225 / 1
LCM(17325,17333) = 300294225
Properties of LCM 17325 and 17333
(i) The LCM of 17333 and 17325 is associative
LCM of 17325 and 17333 = LCM of 17333 and 17325
Related Least Common Multiples of 17325
Related Least Common Multiples of 17333
Frequently Asked Questions on LCM of 17325 and 17333
1. What is the LCM of 17325 and 17333?
Answer: LCM of 17325 and 17333 is 300294225.
2. What are the Factors of 17325?
Answer: Factors of 17325 are 1, 3, 5, 7, 9, 11, 15, 21, 25, 33, 35, 45, 55, 63, 75, 77, 99, 105, 165, 175, 225, 231, 275, 315, 385, 495, 525, 693, 825, 1155, 1575, 1925, 2475, 3465, 5775, 17325. There are 36 integers that are factors of 17325. The greatest factor of 17325 is 17325.
3. What are the Factors of 17333?
Answer: Factors of 17333 are 1, 17333. There are 2 integers that are factors of 17333. The greatest factor of 17333 is 17333.
4. How to Find the LCM of 17325 and 17333?
Answer:
Least Common Multiple of 17325 and 17333 = 300294225
Step 1: Find the prime factorization of 17325
17325 = 3 x 3 x 5 x 5 x 7 x 11
Step 2: Find the prime factorization of 17333
17333 = 17333
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 300294225 = 3 x 3 x 5 x 5 x 7 x 11 x 17333
Step 4: Therefore, the least common multiple of 17325 and 17333 is 300294225.