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 8181 the smallest integer that is 66896037 that is divisible by both numbers.
Least Common Multiple (LCM) of 8177 and 8181 is 66896037.
LCM(8177,8181) = 66896037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8177 and 8181. First we will calculate the prime factors of 8177 and 8181.
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 8181
3 | 8181 |
3 | 2727 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:
8181 = 34×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 8177 and 8181.
LCM(8177,8181) = 34×131×171×371×1011
LCM(8177,8181) = 66896037
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 8181
List of positive integer factors of 8181 that divides 8181 without a remainder.
1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8177 and 8181, than apply into the LCM equation.
GCF(8177,8181) = 1
LCM(8177,8181) = ( 8177 × 8181) / 1
LCM(8177,8181) = 66896037 / 1
LCM(8177,8181) = 66896037
(i) The LCM of 8181 and 8177 is associative
LCM of 8177 and 8181 = LCM of 8181 and 8177
1. What is the LCM of 8177 and 8181?
Answer: LCM of 8177 and 8181 is 66896037.
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 8181?
Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.
4. How to Find the LCM of 8177 and 8181?
Answer:
Least Common Multiple of 8177 and 8181 = 66896037
Step 1: Find the prime factorization of 8177
8177 = 13 x 17 x 37
Step 2: Find the prime factorization of 8181
8181 = 3 x 3 x 3 x 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66896037 = 3 x 3 x 3 x 3 x 13 x 17 x 37 x 101
Step 4: Therefore, the least common multiple of 8177 and 8181 is 66896037.