Least Common Multiple of 9175 and 9179
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9175 and 9179 the smallest integer that is 84217325 that is divisible by both numbers.
Least Common Multiple (LCM) of 9175 and 9179 is 84217325.
LCM(9175,9179) = 84217325
LCM of 9175 and 9179
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9175 and 9179 by Prime method
- Least Common Multiple of 9175 and 9179 with GCF Formula
LCM of 9175 and 9179 is 84217325
Least common multiple can be found by multiplying the highest exponent prime factors of 9175 and 9179. First we will calculate the prime factors of 9175 and 9179.
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
Prime Factorization of 9179
| 67 | 9179 |
| 137 | 137 |
| 1 |
Prime factors of 9179 are 67,137. Prime factorization of 9179 in exponential form is:
9179 = 671×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 9175 and 9179.
LCM(9175,9179) = 52×671×1371×3671
LCM(9175,9179) = 84217325
Factors of 9175
List of positive integer factors of 9175 that divides 9175 without a remainder.
1, 5, 25, 367, 1835, 9175
Factors of 9179
List of positive integer factors of 9179 that divides 9179 without a remainder.
1, 67, 137, 9179
Least Common Multiple of 9175 and 9179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9175 and 9179, than apply into the LCM equation.
GCF(9175,9179) = 1
LCM(9175,9179) = ( 9175 × 9179) / 1
LCM(9175,9179) = 84217325 / 1
LCM(9175,9179) = 84217325
Properties of LCM 9175 and 9179
(i) The LCM of 9179 and 9175 is associative
LCM of 9175 and 9179 = LCM of 9179 and 9175
Related Least Common Multiples of 9175
Related Least Common Multiples of 9179
Frequently Asked Questions on LCM of 9175 and 9179
1. What is the LCM of 9175 and 9179?
Answer: LCM of 9175 and 9179 is 84217325.
2. 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.
3. What are the Factors of 9179?
Answer: Factors of 9179 are 1, 67, 137, 9179. There are 4 integers that are factors of 9179. The greatest factor of 9179 is 9179.
4. How to Find the LCM of 9175 and 9179?
Answer:
Least Common Multiple of 9175 and 9179 = 84217325
Step 1: Find the prime factorization of 9175
9175 = 5 x 5 x 367
Step 2: Find the prime factorization of 9179
9179 = 67 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84217325 = 5 x 5 x 67 x 137 x 367
Step 4: Therefore, the least common multiple of 9175 and 9179 is 84217325.