Least Common Multiple of 8177 and 8185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8177 and 8185 the smallest integer that is 66928745 that is divisible by both numbers.
Least Common Multiple (LCM) of 8177 and 8185 is 66928745.
LCM(8177,8185) = 66928745
LCM of 8177 and 8185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8177 and 8185 by Prime method
- Least Common Multiple of 8177 and 8185 with GCF Formula
LCM of 8177 and 8185 is 66928745
Least common multiple can be found by multiplying the highest exponent prime factors of 8177 and 8185. First we will calculate the prime factors of 8177 and 8185.
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
Prime Factorization of 8185
| 5 | 8185 |
| 1637 | 1637 |
| 1 |
Prime factors of 8185 are 5,1637. Prime factorization of 8185 in exponential form is:
8185 = 51×16371
Now multiplying the highest exponent prime factors to calculate the LCM of 8177 and 8185.
LCM(8177,8185) = 51×131×171×371×16371
LCM(8177,8185) = 66928745
Factors of 8177
List of positive integer factors of 8177 that divides 8177 without a remainder.
1, 13, 17, 37, 221, 481, 629, 8177
Factors of 8185
List of positive integer factors of 8185 that divides 8185 without a remainder.
1, 5, 1637, 8185
Least Common Multiple of 8177 and 8185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8177 and 8185, than apply into the LCM equation.
GCF(8177,8185) = 1
LCM(8177,8185) = ( 8177 × 8185) / 1
LCM(8177,8185) = 66928745 / 1
LCM(8177,8185) = 66928745
Properties of LCM 8177 and 8185
(i) The LCM of 8185 and 8177 is associative
LCM of 8177 and 8185 = LCM of 8185 and 8177
Related Least Common Multiples of 8177
Related Least Common Multiples of 8185
Frequently Asked Questions on LCM of 8177 and 8185
1. What is the LCM of 8177 and 8185?
Answer: LCM of 8177 and 8185 is 66928745.
2. 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.
3. What are the Factors of 8185?
Answer: Factors of 8185 are 1, 5, 1637, 8185. There are 4 integers that are factors of 8185. The greatest factor of 8185 is 8185.
4. How to Find the LCM of 8177 and 8185?
Answer:
Least Common Multiple of 8177 and 8185 = 66928745
Step 1: Find the prime factorization of 8177
8177 = 13 x 17 x 37
Step 2: Find the prime factorization of 8185
8185 = 5 x 1637
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66928745 = 5 x 13 x 17 x 37 x 1637
Step 4: Therefore, the least common multiple of 8177 and 8185 is 66928745.