Least Common Multiple of 9158 and 9163
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 9163 the smallest integer that is 83914754 that is divisible by both numbers.
Least Common Multiple (LCM) of 9158 and 9163 is 83914754.
LCM(9158,9163) = 83914754
LCM of 9158 and 9163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9158 and 9163 by Prime method
- Least Common Multiple of 9158 and 9163 with GCF Formula
LCM of 9158 and 9163 is 83914754
Least common multiple can be found by multiplying the highest exponent prime factors of 9158 and 9163. First we will calculate the prime factors of 9158 and 9163.
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 9163
| 7 | 9163 |
| 7 | 1309 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 9163 are 7, 11,17. Prime factorization of 9163 in exponential form is:
9163 = 72×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 9158 and 9163.
LCM(9158,9163) = 21×72×111×171×191×2411
LCM(9158,9163) = 83914754
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 9163
List of positive integer factors of 9163 that divides 9163 without a remainder.
1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163
Least Common Multiple of 9158 and 9163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9158 and 9163, than apply into the LCM equation.
GCF(9158,9163) = 1
LCM(9158,9163) = ( 9158 × 9163) / 1
LCM(9158,9163) = 83914754 / 1
LCM(9158,9163) = 83914754
Properties of LCM 9158 and 9163
(i) The LCM of 9163 and 9158 is associative
LCM of 9158 and 9163 = LCM of 9163 and 9158
Related Least Common Multiples of 9158
Related Least Common Multiples of 9163
Frequently Asked Questions on LCM of 9158 and 9163
1. What is the LCM of 9158 and 9163?
Answer: LCM of 9158 and 9163 is 83914754.
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 9163?
Answer: Factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163. There are 12 integers that are factors of 9163. The greatest factor of 9163 is 9163.
4. How to Find the LCM of 9158 and 9163?
Answer:
Least Common Multiple of 9158 and 9163 = 83914754
Step 1: Find the prime factorization of 9158
9158 = 2 x 19 x 241
Step 2: Find the prime factorization of 9163
9163 = 7 x 7 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83914754 = 2 x 7 x 7 x 11 x 17 x 19 x 241
Step 4: Therefore, the least common multiple of 9158 and 9163 is 83914754.