Least Common Multiple of 9165 and 9173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9165 and 9173 the smallest integer that is 84070545 that is divisible by both numbers.
Least Common Multiple (LCM) of 9165 and 9173 is 84070545.
LCM(9165,9173) = 84070545
LCM of 9165 and 9173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9165 and 9173 by Prime method
- Least Common Multiple of 9165 and 9173 with GCF Formula
LCM of 9165 and 9173 is 84070545
Least common multiple can be found by multiplying the highest exponent prime factors of 9165 and 9173. First we will calculate the prime factors of 9165 and 9173.
Prime Factorization of 9165
| 3 | 9165 |
| 5 | 3055 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 9165 are 3, 5, 13,47. Prime factorization of 9165 in exponential form is:
9165 = 31×51×131×471
Prime Factorization of 9173
| 9173 | 9173 |
| 1 |
Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:
9173 = 91731
Now multiplying the highest exponent prime factors to calculate the LCM of 9165 and 9173.
LCM(9165,9173) = 31×51×131×471×91731
LCM(9165,9173) = 84070545
Factors of 9165
List of positive integer factors of 9165 that divides 9165 without a remainder.
1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1, 9173
Least Common Multiple of 9165 and 9173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9165 and 9173, than apply into the LCM equation.
GCF(9165,9173) = 1
LCM(9165,9173) = ( 9165 × 9173) / 1
LCM(9165,9173) = 84070545 / 1
LCM(9165,9173) = 84070545
Properties of LCM 9165 and 9173
(i) The LCM of 9173 and 9165 is associative
LCM of 9165 and 9173 = LCM of 9173 and 9165
Related Least Common Multiples of 9165
Related Least Common Multiples of 9173
Frequently Asked Questions on LCM of 9165 and 9173
1. What is the LCM of 9165 and 9173?
Answer: LCM of 9165 and 9173 is 84070545.
2. What are the Factors of 9165?
Answer: Factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165. There are 16 integers that are factors of 9165. The greatest factor of 9165 is 9165.
3. What are the Factors of 9173?
Answer: Factors of 9173 are 1, 9173. There are 2 integers that are factors of 9173. The greatest factor of 9173 is 9173.
4. How to Find the LCM of 9165 and 9173?
Answer:
Least Common Multiple of 9165 and 9173 = 84070545
Step 1: Find the prime factorization of 9165
9165 = 3 x 5 x 13 x 47
Step 2: Find the prime factorization of 9173
9173 = 9173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84070545 = 3 x 5 x 13 x 47 x 9173
Step 4: Therefore, the least common multiple of 9165 and 9173 is 84070545.