Least Common Multiple of 9158 and 9165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9158 and 9165 the smallest integer that is 83933070 that is divisible by both numbers.
Least Common Multiple (LCM) of 9158 and 9165 is 83933070.
LCM(9158,9165) = 83933070
LCM of 9158 and 9165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9158 and 9165 by Prime method
- Least Common Multiple of 9158 and 9165 with GCF Formula
LCM of 9158 and 9165 is 83933070
Least common multiple can be found by multiplying the highest exponent prime factors of 9158 and 9165. First we will calculate the prime factors of 9158 and 9165.
Prime Factorization of 9158
| 2 | 9158 |
| 19 | 4579 |
| 241 | 241 |
| 1 |
Prime factors of 9158 are 2, 19,241. Prime factorization of 9158 in exponential form is:
9158 = 21×191×2411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9158 and 9165.
LCM(9158,9165) = 21×31×51×131×191×471×2411
LCM(9158,9165) = 83933070
Factors of 9158
List of positive integer factors of 9158 that divides 9158 without a remainder.
1, 2, 19, 38, 241, 482, 4579, 9158
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
Least Common Multiple of 9158 and 9165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9158 and 9165, than apply into the LCM equation.
GCF(9158,9165) = 1
LCM(9158,9165) = ( 9158 × 9165) / 1
LCM(9158,9165) = 83933070 / 1
LCM(9158,9165) = 83933070
Properties of LCM 9158 and 9165
(i) The LCM of 9165 and 9158 is associative
LCM of 9158 and 9165 = LCM of 9165 and 9158
Related Least Common Multiples of 9158
Related Least Common Multiples of 9165
Frequently Asked Questions on LCM of 9158 and 9165
1. What is the LCM of 9158 and 9165?
Answer: LCM of 9158 and 9165 is 83933070.
2. What are the Factors of 9158?
Answer: Factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158. There are 8 integers that are factors of 9158. The greatest factor of 9158 is 9158.
3. 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.
4. How to Find the LCM of 9158 and 9165?
Answer:
Least Common Multiple of 9158 and 9165 = 83933070
Step 1: Find the prime factorization of 9158
9158 = 2 x 19 x 241
Step 2: Find the prime factorization of 9165
9165 = 3 x 5 x 13 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 = 83933070 = 2 x 3 x 5 x 13 x 19 x 47 x 241
Step 4: Therefore, the least common multiple of 9158 and 9165 is 83933070.