Least Common Multiple of 9289 and 9295
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9289 and 9295 the smallest integer that is 86341255 that is divisible by both numbers.
Least Common Multiple (LCM) of 9289 and 9295 is 86341255.
LCM(9289,9295) = 86341255
LCM of 9289 and 9295
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9289 and 9295 by Prime method
- Least Common Multiple of 9289 and 9295 with GCF Formula
LCM of 9289 and 9295 is 86341255
Least common multiple can be found by multiplying the highest exponent prime factors of 9289 and 9295. First we will calculate the prime factors of 9289 and 9295.
Prime Factorization of 9289
| 7 | 9289 |
| 1327 | 1327 |
| 1 |
Prime factors of 9289 are 7,1327. Prime factorization of 9289 in exponential form is:
9289 = 71×13271
Prime Factorization of 9295
| 5 | 9295 |
| 11 | 1859 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 9295 are 5, 11,13. Prime factorization of 9295 in exponential form is:
9295 = 51×111×132
Now multiplying the highest exponent prime factors to calculate the LCM of 9289 and 9295.
LCM(9289,9295) = 51×71×111×132×13271
LCM(9289,9295) = 86341255
Factors of 9289
List of positive integer factors of 9289 that divides 9289 without a remainder.
1, 7, 1327, 9289
Factors of 9295
List of positive integer factors of 9295 that divides 9295 without a remainder.
1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295
Least Common Multiple of 9289 and 9295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9289 and 9295, than apply into the LCM equation.
GCF(9289,9295) = 1
LCM(9289,9295) = ( 9289 × 9295) / 1
LCM(9289,9295) = 86341255 / 1
LCM(9289,9295) = 86341255
Properties of LCM 9289 and 9295
(i) The LCM of 9295 and 9289 is associative
LCM of 9289 and 9295 = LCM of 9295 and 9289
Related Least Common Multiples of 9289
Related Least Common Multiples of 9295
Frequently Asked Questions on LCM of 9289 and 9295
1. What is the LCM of 9289 and 9295?
Answer: LCM of 9289 and 9295 is 86341255.
2. What are the Factors of 9289?
Answer: Factors of 9289 are 1, 7, 1327, 9289. There are 4 integers that are factors of 9289. The greatest factor of 9289 is 9289.
3. What are the Factors of 9295?
Answer: Factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295. There are 12 integers that are factors of 9295. The greatest factor of 9295 is 9295.
4. How to Find the LCM of 9289 and 9295?
Answer:
Least Common Multiple of 9289 and 9295 = 86341255
Step 1: Find the prime factorization of 9289
9289 = 7 x 1327
Step 2: Find the prime factorization of 9295
9295 = 5 x 11 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86341255 = 5 x 7 x 11 x 13 x 13 x 1327
Step 4: Therefore, the least common multiple of 9289 and 9295 is 86341255.