Least Common Multiple of 9163 and 9169
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 9169 the smallest integer that is 84015547 that is divisible by both numbers.
Least Common Multiple (LCM) of 9163 and 9169 is 84015547.
LCM(9163,9169) = 84015547
LCM of 9163 and 9169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9163 and 9169 by Prime method
- Least Common Multiple of 9163 and 9169 with GCF Formula
LCM of 9163 and 9169 is 84015547
Least common multiple can be found by multiplying the highest exponent prime factors of 9163 and 9169. First we will calculate the prime factors of 9163 and 9169.
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 9169
| 53 | 9169 |
| 173 | 173 |
| 1 |
Prime factors of 9169 are 53,173. Prime factorization of 9169 in exponential form is:
9169 = 531×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 9163 and 9169.
LCM(9163,9169) = 72×111×171×531×1731
LCM(9163,9169) = 84015547
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 9169
List of positive integer factors of 9169 that divides 9169 without a remainder.
1, 53, 173, 9169
Least Common Multiple of 9163 and 9169 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 9169, than apply into the LCM equation.
GCF(9163,9169) = 1
LCM(9163,9169) = ( 9163 × 9169) / 1
LCM(9163,9169) = 84015547 / 1
LCM(9163,9169) = 84015547
Properties of LCM 9163 and 9169
(i) The LCM of 9169 and 9163 is associative
LCM of 9163 and 9169 = LCM of 9169 and 9163
Related Least Common Multiples of 9163
Related Least Common Multiples of 9169
Frequently Asked Questions on LCM of 9163 and 9169
1. What is the LCM of 9163 and 9169?
Answer: LCM of 9163 and 9169 is 84015547.
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 9169?
Answer: Factors of 9169 are 1, 53, 173, 9169. There are 4 integers that are factors of 9169. The greatest factor of 9169 is 9169.
4. How to Find the LCM of 9163 and 9169?
Answer:
Least Common Multiple of 9163 and 9169 = 84015547
Step 1: Find the prime factorization of 9163
9163 = 7 x 7 x 11 x 17
Step 2: Find the prime factorization of 9169
9169 = 53 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84015547 = 7 x 7 x 11 x 17 x 53 x 173
Step 4: Therefore, the least common multiple of 9163 and 9169 is 84015547.