Least Common Multiple of 9167 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 9167 and 9175 the smallest integer that is 84107225 that is divisible by both numbers.
Least Common Multiple (LCM) of 9167 and 9175 is 84107225.
LCM(9167,9175) = 84107225
LCM of 9167 and 9175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9167 and 9175 by Prime method
- Least Common Multiple of 9167 and 9175 with GCF Formula
LCM of 9167 and 9175 is 84107225
Least common multiple can be found by multiplying the highest exponent prime factors of 9167 and 9175. First we will calculate the prime factors of 9167 and 9175.
Prime Factorization of 9167
| 89 | 9167 |
| 103 | 103 |
| 1 |
Prime factors of 9167 are 89,103. Prime factorization of 9167 in exponential form is:
9167 = 891×1031
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 9167 and 9175.
LCM(9167,9175) = 52×891×1031×3671
LCM(9167,9175) = 84107225
Factors of 9167
List of positive integer factors of 9167 that divides 9167 without a remainder.
1, 89, 103, 9167
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 9167 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 9167 and 9175, than apply into the LCM equation.
GCF(9167,9175) = 1
LCM(9167,9175) = ( 9167 × 9175) / 1
LCM(9167,9175) = 84107225 / 1
LCM(9167,9175) = 84107225
Properties of LCM 9167 and 9175
(i) The LCM of 9175 and 9167 is associative
LCM of 9167 and 9175 = LCM of 9175 and 9167
Related Least Common Multiples of 9167
Related Least Common Multiples of 9175
Frequently Asked Questions on LCM of 9167 and 9175
1. What is the LCM of 9167 and 9175?
Answer: LCM of 9167 and 9175 is 84107225.
2. What are the Factors of 9167?
Answer: Factors of 9167 are 1, 89, 103, 9167. There are 4 integers that are factors of 9167. The greatest factor of 9167 is 9167.
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 9167 and 9175?
Answer:
Least Common Multiple of 9167 and 9175 = 84107225
Step 1: Find the prime factorization of 9167
9167 = 89 x 103
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 = 84107225 = 5 x 5 x 89 x 103 x 367
Step 4: Therefore, the least common multiple of 9167 and 9175 is 84107225.