Least Common Multiple of 8177 and 8182
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 8182 the smallest integer that is 66904214 that is divisible by both numbers.
Least Common Multiple (LCM) of 8177 and 8182 is 66904214.
LCM(8177,8182) = 66904214
LCM of 8177 and 8182
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8177 and 8182 by Prime method
- Least Common Multiple of 8177 and 8182 with GCF Formula
LCM of 8177 and 8182 is 66904214
Least common multiple can be found by multiplying the highest exponent prime factors of 8177 and 8182. First we will calculate the prime factors of 8177 and 8182.
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 8182
| 2 | 8182 |
| 4091 | 4091 |
| 1 |
Prime factors of 8182 are 2,4091. Prime factorization of 8182 in exponential form is:
8182 = 21×40911
Now multiplying the highest exponent prime factors to calculate the LCM of 8177 and 8182.
LCM(8177,8182) = 21×131×171×371×40911
LCM(8177,8182) = 66904214
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 8182
List of positive integer factors of 8182 that divides 8182 without a remainder.
1, 2, 4091, 8182
Least Common Multiple of 8177 and 8182 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 8182, than apply into the LCM equation.
GCF(8177,8182) = 1
LCM(8177,8182) = ( 8177 × 8182) / 1
LCM(8177,8182) = 66904214 / 1
LCM(8177,8182) = 66904214
Properties of LCM 8177 and 8182
(i) The LCM of 8182 and 8177 is associative
LCM of 8177 and 8182 = LCM of 8182 and 8177
Related Least Common Multiples of 8177
Related Least Common Multiples of 8182
Frequently Asked Questions on LCM of 8177 and 8182
1. What is the LCM of 8177 and 8182?
Answer: LCM of 8177 and 8182 is 66904214.
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 8182?
Answer: Factors of 8182 are 1, 2, 4091, 8182. There are 4 integers that are factors of 8182. The greatest factor of 8182 is 8182.
4. How to Find the LCM of 8177 and 8182?
Answer:
Least Common Multiple of 8177 and 8182 = 66904214
Step 1: Find the prime factorization of 8177
8177 = 13 x 17 x 37
Step 2: Find the prime factorization of 8182
8182 = 2 x 4091
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66904214 = 2 x 13 x 17 x 37 x 4091
Step 4: Therefore, the least common multiple of 8177 and 8182 is 66904214.