Least Common Multiple of 9169 and 9175
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9169 and 9175 the smallest integer that is 84125575 that is divisible by both numbers.
Least Common Multiple (LCM) of 9169 and 9175 is 84125575.
LCM(9169,9175) = 84125575
LCM of 9169 and 9175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9169 and 9175 by Prime method
- Least Common Multiple of 9169 and 9175 with GCF Formula
LCM of 9169 and 9175 is 84125575
Least common multiple can be found by multiplying the highest exponent prime factors of 9169 and 9175. First we will calculate the prime factors of 9169 and 9175.
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
Prime Factorization of 9175
| 5 | 9175 |
| 5 | 1835 |
| 367 | 367 |
| 1 |
Prime factors of 9175 are 5,367. Prime factorization of 9175 in exponential form is:
9175 = 52×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 9169 and 9175.
LCM(9169,9175) = 52×531×1731×3671
LCM(9169,9175) = 84125575
Factors of 9169
List of positive integer factors of 9169 that divides 9169 without a remainder.
1, 53, 173, 9169
Factors of 9175
List of positive integer factors of 9175 that divides 9175 without a remainder.
1, 5, 25, 367, 1835, 9175
Least Common Multiple of 9169 and 9175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9169 and 9175, than apply into the LCM equation.
GCF(9169,9175) = 1
LCM(9169,9175) = ( 9169 × 9175) / 1
LCM(9169,9175) = 84125575 / 1
LCM(9169,9175) = 84125575
Properties of LCM 9169 and 9175
(i) The LCM of 9175 and 9169 is associative
LCM of 9169 and 9175 = LCM of 9175 and 9169
Related Least Common Multiples of 9169
Related Least Common Multiples of 9175
Frequently Asked Questions on LCM of 9169 and 9175
1. What is the LCM of 9169 and 9175?
Answer: LCM of 9169 and 9175 is 84125575.
2. 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.
3. What are the Factors of 9175?
Answer: Factors of 9175 are 1, 5, 25, 367, 1835, 9175. There are 6 integers that are factors of 9175. The greatest factor of 9175 is 9175.
4. How to Find the LCM of 9169 and 9175?
Answer:
Least Common Multiple of 9169 and 9175 = 84125575
Step 1: Find the prime factorization of 9169
9169 = 53 x 173
Step 2: Find the prime factorization of 9175
9175 = 5 x 5 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84125575 = 5 x 5 x 53 x 173 x 367
Step 4: Therefore, the least common multiple of 9169 and 9175 is 84125575.