Least Common Multiple of 8170 and 8177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8170 and 8177 the smallest integer that is 66806090 that is divisible by both numbers.
Least Common Multiple (LCM) of 8170 and 8177 is 66806090.
LCM(8170,8177) = 66806090
LCM of 8170 and 8177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8170 and 8177 by Prime method
- Least Common Multiple of 8170 and 8177 with GCF Formula
LCM of 8170 and 8177 is 66806090
Least common multiple can be found by multiplying the highest exponent prime factors of 8170 and 8177. First we will calculate the prime factors of 8170 and 8177.
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
Prime Factorization of 8177
| 13 | 8177 |
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 8177 are 13, 17,37. Prime factorization of 8177 in exponential form is:
8177 = 131×171×371
Now multiplying the highest exponent prime factors to calculate the LCM of 8170 and 8177.
LCM(8170,8177) = 21×51×131×171×191×371×431
LCM(8170,8177) = 66806090
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
Factors of 8177
List of positive integer factors of 8177 that divides 8177 without a remainder.
1, 13, 17, 37, 221, 481, 629, 8177
Least Common Multiple of 8170 and 8177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8170 and 8177, than apply into the LCM equation.
GCF(8170,8177) = 1
LCM(8170,8177) = ( 8170 × 8177) / 1
LCM(8170,8177) = 66806090 / 1
LCM(8170,8177) = 66806090
Properties of LCM 8170 and 8177
(i) The LCM of 8177 and 8170 is associative
LCM of 8170 and 8177 = LCM of 8177 and 8170
Related Least Common Multiples of 8170
Related Least Common Multiples of 8177
Frequently Asked Questions on LCM of 8170 and 8177
1. What is the LCM of 8170 and 8177?
Answer: LCM of 8170 and 8177 is 66806090.
2. 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.
3. What are the Factors of 8177?
Answer: Factors of 8177 are 1, 13, 17, 37, 221, 481, 629, 8177. There are 8 integers that are factors of 8177. The greatest factor of 8177 is 8177.
4. How to Find the LCM of 8170 and 8177?
Answer:
Least Common Multiple of 8170 and 8177 = 66806090
Step 1: Find the prime factorization of 8170
8170 = 2 x 5 x 19 x 43
Step 2: Find the prime factorization of 8177
8177 = 13 x 17 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 = 66806090 = 2 x 5 x 13 x 17 x 19 x 37 x 43
Step 4: Therefore, the least common multiple of 8170 and 8177 is 66806090.