Least Common Multiple of 9163 and 9171
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9163 and 9171 the smallest integer that is 84033873 that is divisible by both numbers.
Least Common Multiple (LCM) of 9163 and 9171 is 84033873.
LCM(9163,9171) = 84033873
LCM of 9163 and 9171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9163 and 9171 by Prime method
- Least Common Multiple of 9163 and 9171 with GCF Formula
LCM of 9163 and 9171 is 84033873
Least common multiple can be found by multiplying the highest exponent prime factors of 9163 and 9171. First we will calculate the prime factors of 9163 and 9171.
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
Prime Factorization of 9171
| 3 | 9171 |
| 3 | 3057 |
| 1019 | 1019 |
| 1 |
Prime factors of 9171 are 3,1019. Prime factorization of 9171 in exponential form is:
9171 = 32×10191
Now multiplying the highest exponent prime factors to calculate the LCM of 9163 and 9171.
LCM(9163,9171) = 32×72×111×171×10191
LCM(9163,9171) = 84033873
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
Factors of 9171
List of positive integer factors of 9171 that divides 9171 without a remainder.
1, 3, 9, 1019, 3057, 9171
Least Common Multiple of 9163 and 9171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9163 and 9171, than apply into the LCM equation.
GCF(9163,9171) = 1
LCM(9163,9171) = ( 9163 × 9171) / 1
LCM(9163,9171) = 84033873 / 1
LCM(9163,9171) = 84033873
Properties of LCM 9163 and 9171
(i) The LCM of 9171 and 9163 is associative
LCM of 9163 and 9171 = LCM of 9171 and 9163
Related Least Common Multiples of 9163
Related Least Common Multiples of 9171
Frequently Asked Questions on LCM of 9163 and 9171
1. What is the LCM of 9163 and 9171?
Answer: LCM of 9163 and 9171 is 84033873.
2. 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.
3. What are the Factors of 9171?
Answer: Factors of 9171 are 1, 3, 9, 1019, 3057, 9171. There are 6 integers that are factors of 9171. The greatest factor of 9171 is 9171.
4. How to Find the LCM of 9163 and 9171?
Answer:
Least Common Multiple of 9163 and 9171 = 84033873
Step 1: Find the prime factorization of 9163
9163 = 7 x 7 x 11 x 17
Step 2: Find the prime factorization of 9171
9171 = 3 x 3 x 1019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84033873 = 3 x 3 x 7 x 7 x 11 x 17 x 1019
Step 4: Therefore, the least common multiple of 9163 and 9171 is 84033873.