Least Common Multiple of 9381 and 9389
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9381 and 9389 the smallest integer that is 88078209 that is divisible by both numbers.
Least Common Multiple (LCM) of 9381 and 9389 is 88078209.
LCM(9381,9389) = 88078209
LCM of 9381 and 9389
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9381 and 9389 by Prime method
- Least Common Multiple of 9381 and 9389 with GCF Formula
LCM of 9381 and 9389 is 88078209
Least common multiple can be found by multiplying the highest exponent prime factors of 9381 and 9389. First we will calculate the prime factors of 9381 and 9389.
Prime Factorization of 9381
| 3 | 9381 |
| 53 | 3127 |
| 59 | 59 |
| 1 |
Prime factors of 9381 are 3, 53,59. Prime factorization of 9381 in exponential form is:
9381 = 31×531×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9381 and 9389.
LCM(9381,9389) = 31×411×531×591×2291
LCM(9381,9389) = 88078209
Factors of 9381
List of positive integer factors of 9381 that divides 9381 without a remainder.
1, 3, 53, 59, 159, 177, 3127, 9381
Factors of 9389
List of positive integer factors of 9389 that divides 9389 without a remainder.
1, 41, 229, 9389
Least Common Multiple of 9381 and 9389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9381 and 9389, than apply into the LCM equation.
GCF(9381,9389) = 1
LCM(9381,9389) = ( 9381 × 9389) / 1
LCM(9381,9389) = 88078209 / 1
LCM(9381,9389) = 88078209
Properties of LCM 9381 and 9389
(i) The LCM of 9389 and 9381 is associative
LCM of 9381 and 9389 = LCM of 9389 and 9381
Related Least Common Multiples of 9381
Related Least Common Multiples of 9389
Frequently Asked Questions on LCM of 9381 and 9389
1. What is the LCM of 9381 and 9389?
Answer: LCM of 9381 and 9389 is 88078209.
2. What are the Factors of 9381?
Answer: Factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381. There are 8 integers that are factors of 9381. The greatest factor of 9381 is 9381.
3. 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.
4. How to Find the LCM of 9381 and 9389?
Answer:
Least Common Multiple of 9381 and 9389 = 88078209
Step 1: Find the prime factorization of 9381
9381 = 3 x 53 x 59
Step 2: Find the prime factorization of 9389
9389 = 41 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88078209 = 3 x 41 x 53 x 59 x 229
Step 4: Therefore, the least common multiple of 9381 and 9389 is 88078209.