Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9158 and 9161 the smallest integer that is 83896438 that is divisible by both numbers.
Least Common Multiple (LCM) of 9158 and 9161 is 83896438.
LCM(9158,9161) = 83896438
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 9158 and 9161. First we will calculate the prime factors of 9158 and 9161.
Prime Factorization of 9158
2 | 9158 |
19 | 4579 |
241 | 241 |
1 |
Prime factors of 9158 are 2, 19,241. Prime factorization of 9158 in exponential form is:
9158 = 21×191×2411
Prime Factorization of 9161
9161 | 9161 |
1 |
Prime factors of 9161 are 9161. Prime factorization of 9161 in exponential form is:
9161 = 91611
Now multiplying the highest exponent prime factors to calculate the LCM of 9158 and 9161.
LCM(9158,9161) = 21×191×2411×91611
LCM(9158,9161) = 83896438
Factors of 9158
List of positive integer factors of 9158 that divides 9158 without a remainder.
1, 2, 19, 38, 241, 482, 4579, 9158
Factors of 9161
List of positive integer factors of 9161 that divides 9161 without a remainder.
1, 9161
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9158 and 9161, than apply into the LCM equation.
GCF(9158,9161) = 1
LCM(9158,9161) = ( 9158 × 9161) / 1
LCM(9158,9161) = 83896438 / 1
LCM(9158,9161) = 83896438
(i) The LCM of 9161 and 9158 is associative
LCM of 9158 and 9161 = LCM of 9161 and 9158
1. What is the LCM of 9158 and 9161?
Answer: LCM of 9158 and 9161 is 83896438.
2. What are the Factors of 9158?
Answer: Factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158. There are 8 integers that are factors of 9158. The greatest factor of 9158 is 9158.
3. What are the Factors of 9161?
Answer: Factors of 9161 are 1, 9161. There are 2 integers that are factors of 9161. The greatest factor of 9161 is 9161.
4. How to Find the LCM of 9158 and 9161?
Answer:
Least Common Multiple of 9158 and 9161 = 83896438
Step 1: Find the prime factorization of 9158
9158 = 2 x 19 x 241
Step 2: Find the prime factorization of 9161
9161 = 9161
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83896438 = 2 x 19 x 241 x 9161
Step 4: Therefore, the least common multiple of 9158 and 9161 is 83896438.