Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8155 and 8161 the smallest integer that is 66552955 that is divisible by both numbers.
Least Common Multiple (LCM) of 8155 and 8161 is 66552955.
LCM(8155,8161) = 66552955
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 8155 and 8161. First we will calculate the prime factors of 8155 and 8161.
Prime Factorization of 8155
5 | 8155 |
7 | 1631 |
233 | 233 |
1 |
Prime factors of 8155 are 5, 7,233. Prime factorization of 8155 in exponential form is:
8155 = 51×71×2331
Prime Factorization of 8161
8161 | 8161 |
1 |
Prime factors of 8161 are 8161. Prime factorization of 8161 in exponential form is:
8161 = 81611
Now multiplying the highest exponent prime factors to calculate the LCM of 8155 and 8161.
LCM(8155,8161) = 51×71×2331×81611
LCM(8155,8161) = 66552955
Factors of 8155
List of positive integer factors of 8155 that divides 8155 without a remainder.
1, 5, 7, 35, 233, 1165, 1631, 8155
Factors of 8161
List of positive integer factors of 8161 that divides 8161 without a remainder.
1, 8161
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8155 and 8161, than apply into the LCM equation.
GCF(8155,8161) = 1
LCM(8155,8161) = ( 8155 × 8161) / 1
LCM(8155,8161) = 66552955 / 1
LCM(8155,8161) = 66552955
(i) The LCM of 8161 and 8155 is associative
LCM of 8155 and 8161 = LCM of 8161 and 8155
1. What is the LCM of 8155 and 8161?
Answer: LCM of 8155 and 8161 is 66552955.
2. What are the Factors of 8155?
Answer: Factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155. There are 8 integers that are factors of 8155. The greatest factor of 8155 is 8155.
3. What are the Factors of 8161?
Answer: Factors of 8161 are 1, 8161. There are 2 integers that are factors of 8161. The greatest factor of 8161 is 8161.
4. How to Find the LCM of 8155 and 8161?
Answer:
Least Common Multiple of 8155 and 8161 = 66552955
Step 1: Find the prime factorization of 8155
8155 = 5 x 7 x 233
Step 2: Find the prime factorization of 8161
8161 = 8161
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66552955 = 5 x 7 x 233 x 8161
Step 4: Therefore, the least common multiple of 8155 and 8161 is 66552955.