Least Common Multiple of 9389 and 9395
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9389 and 9395 the smallest integer that is 88209655 that is divisible by both numbers.
Least Common Multiple (LCM) of 9389 and 9395 is 88209655.
LCM(9389,9395) = 88209655
LCM of 9389 and 9395
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9389 and 9395 by Prime method
- Least Common Multiple of 9389 and 9395 with GCF Formula
LCM of 9389 and 9395 is 88209655
Least common multiple can be found by multiplying the highest exponent prime factors of 9389 and 9395. First we will calculate the prime factors of 9389 and 9395.
Prime Factorization of 9389
| 41 | 9389 |
| 229 | 229 |
| 1 |
Prime factors of 9389 are 41,229. Prime factorization of 9389 in exponential form is:
9389 = 411×2291
Prime Factorization of 9395
| 5 | 9395 |
| 1879 | 1879 |
| 1 |
Prime factors of 9395 are 5,1879. Prime factorization of 9395 in exponential form is:
9395 = 51×18791
Now multiplying the highest exponent prime factors to calculate the LCM of 9389 and 9395.
LCM(9389,9395) = 51×411×2291×18791
LCM(9389,9395) = 88209655
Factors of 9389
List of positive integer factors of 9389 that divides 9389 without a remainder.
1, 41, 229, 9389
Factors of 9395
List of positive integer factors of 9395 that divides 9395 without a remainder.
1, 5, 1879, 9395
Least Common Multiple of 9389 and 9395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9389 and 9395, than apply into the LCM equation.
GCF(9389,9395) = 1
LCM(9389,9395) = ( 9389 × 9395) / 1
LCM(9389,9395) = 88209655 / 1
LCM(9389,9395) = 88209655
Properties of LCM 9389 and 9395
(i) The LCM of 9395 and 9389 is associative
LCM of 9389 and 9395 = LCM of 9395 and 9389
Related Least Common Multiples of 9389
Related Least Common Multiples of 9395
Frequently Asked Questions on LCM of 9389 and 9395
1. What is the LCM of 9389 and 9395?
Answer: LCM of 9389 and 9395 is 88209655.
2. What are the Factors of 9389?
Answer: Factors of 9389 are 1, 41, 229, 9389. There are 4 integers that are factors of 9389. The greatest factor of 9389 is 9389.
3. What are the Factors of 9395?
Answer: Factors of 9395 are 1, 5, 1879, 9395. There are 4 integers that are factors of 9395. The greatest factor of 9395 is 9395.
4. How to Find the LCM of 9389 and 9395?
Answer:
Least Common Multiple of 9389 and 9395 = 88209655
Step 1: Find the prime factorization of 9389
9389 = 41 x 229
Step 2: Find the prime factorization of 9395
9395 = 5 x 1879
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88209655 = 5 x 41 x 229 x 1879
Step 4: Therefore, the least common multiple of 9389 and 9395 is 88209655.