Least Common Multiple of 9170 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 9170 and 9175 the smallest integer that is 16826950 that is divisible by both numbers.
Least Common Multiple (LCM) of 9170 and 9175 is 16826950.
LCM(9170,9175) = 16826950
LCM of 9170 and 9175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9170 and 9175 by Prime method
- Least Common Multiple of 9170 and 9175 with GCF Formula
LCM of 9170 and 9175 is 16826950
Least common multiple can be found by multiplying the highest exponent prime factors of 9170 and 9175. First we will calculate the prime factors of 9170 and 9175.
Prime Factorization of 9170
| 2 | 9170 |
| 5 | 4585 |
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:
9170 = 21×51×71×1311
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 9170 and 9175.
LCM(9170,9175) = 21×52×71×1311×3671
LCM(9170,9175) = 16826950
Factors of 9170
List of positive integer factors of 9170 that divides 9170 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
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 9170 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 9170 and 9175, than apply into the LCM equation.
GCF(9170,9175) = 5
LCM(9170,9175) = ( 9170 × 9175) / 5
LCM(9170,9175) = 84134750 / 5
LCM(9170,9175) = 16826950
Properties of LCM 9170 and 9175
(i) The LCM of 9175 and 9170 is associative
LCM of 9170 and 9175 = LCM of 9175 and 9170
Related Least Common Multiples of 9170
Related Least Common Multiples of 9175
Frequently Asked Questions on LCM of 9170 and 9175
1. What is the LCM of 9170 and 9175?
Answer: LCM of 9170 and 9175 is 16826950.
2. What are the Factors of 9170?
Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.
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 9170 and 9175?
Answer:
Least Common Multiple of 9170 and 9175 = 16826950
Step 1: Find the prime factorization of 9170
9170 = 2 x 5 x 7 x 131
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 = 16826950 = 2 x 5 x 5 x 7 x 131 x 367
Step 4: Therefore, the least common multiple of 9170 and 9175 is 16826950.