Least Common Multiple of 8165 and 8170
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8165 and 8170 the smallest integer that is 13341610 that is divisible by both numbers.
Least Common Multiple (LCM) of 8165 and 8170 is 13341610.
LCM(8165,8170) = 13341610
LCM of 8165 and 8170
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8165 and 8170 by Prime method
- Least Common Multiple of 8165 and 8170 with GCF Formula
LCM of 8165 and 8170 is 13341610
Least common multiple can be found by multiplying the highest exponent prime factors of 8165 and 8170. First we will calculate the prime factors of 8165 and 8170.
Prime Factorization of 8165
| 5 | 8165 |
| 23 | 1633 |
| 71 | 71 |
| 1 |
Prime factors of 8165 are 5, 23,71. Prime factorization of 8165 in exponential form is:
8165 = 51×231×711
Prime Factorization of 8170
| 2 | 8170 |
| 5 | 4085 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 8170 are 2, 5, 19,43. Prime factorization of 8170 in exponential form is:
8170 = 21×51×191×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8165 and 8170.
LCM(8165,8170) = 21×51×191×231×431×711
LCM(8165,8170) = 13341610
Factors of 8165
List of positive integer factors of 8165 that divides 8165 without a remainder.
1, 5, 23, 71, 115, 355, 1633, 8165
Factors of 8170
List of positive integer factors of 8170 that divides 8170 without a remainder.
1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170
Least Common Multiple of 8165 and 8170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8165 and 8170, than apply into the LCM equation.
GCF(8165,8170) = 5
LCM(8165,8170) = ( 8165 × 8170) / 5
LCM(8165,8170) = 66708050 / 5
LCM(8165,8170) = 13341610
Properties of LCM 8165 and 8170
(i) The LCM of 8170 and 8165 is associative
LCM of 8165 and 8170 = LCM of 8170 and 8165
Related Least Common Multiples of 8165
Related Least Common Multiples of 8170
Frequently Asked Questions on LCM of 8165 and 8170
1. What is the LCM of 8165 and 8170?
Answer: LCM of 8165 and 8170 is 13341610.
2. What are the Factors of 8165?
Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.
3. What are the Factors of 8170?
Answer: Factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170. There are 16 integers that are factors of 8170. The greatest factor of 8170 is 8170.
4. How to Find the LCM of 8165 and 8170?
Answer:
Least Common Multiple of 8165 and 8170 = 13341610
Step 1: Find the prime factorization of 8165
8165 = 5 x 23 x 71
Step 2: Find the prime factorization of 8170
8170 = 2 x 5 x 19 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13341610 = 2 x 5 x 19 x 23 x 43 x 71
Step 4: Therefore, the least common multiple of 8165 and 8170 is 13341610.