Least Common Multiple of 9389 and 9393
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 9393 the smallest integer that is 88190877 that is divisible by both numbers.
Least Common Multiple (LCM) of 9389 and 9393 is 88190877.
LCM(9389,9393) = 88190877
LCM of 9389 and 9393
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9389 and 9393 by Prime method
- Least Common Multiple of 9389 and 9393 with GCF Formula
LCM of 9389 and 9393 is 88190877
Least common multiple can be found by multiplying the highest exponent prime factors of 9389 and 9393. First we will calculate the prime factors of 9389 and 9393.
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 9393
| 3 | 9393 |
| 31 | 3131 |
| 101 | 101 |
| 1 |
Prime factors of 9393 are 3, 31,101. Prime factorization of 9393 in exponential form is:
9393 = 31×311×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 9389 and 9393.
LCM(9389,9393) = 31×311×411×1011×2291
LCM(9389,9393) = 88190877
Factors of 9389
List of positive integer factors of 9389 that divides 9389 without a remainder.
1, 41, 229, 9389
Factors of 9393
List of positive integer factors of 9393 that divides 9393 without a remainder.
1, 3, 31, 93, 101, 303, 3131, 9393
Least Common Multiple of 9389 and 9393 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 9393, than apply into the LCM equation.
GCF(9389,9393) = 1
LCM(9389,9393) = ( 9389 × 9393) / 1
LCM(9389,9393) = 88190877 / 1
LCM(9389,9393) = 88190877
Properties of LCM 9389 and 9393
(i) The LCM of 9393 and 9389 is associative
LCM of 9389 and 9393 = LCM of 9393 and 9389
Related Least Common Multiples of 9389
Related Least Common Multiples of 9393
Frequently Asked Questions on LCM of 9389 and 9393
1. What is the LCM of 9389 and 9393?
Answer: LCM of 9389 and 9393 is 88190877.
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 9393?
Answer: Factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393. There are 8 integers that are factors of 9393. The greatest factor of 9393 is 9393.
4. How to Find the LCM of 9389 and 9393?
Answer:
Least Common Multiple of 9389 and 9393 = 88190877
Step 1: Find the prime factorization of 9389
9389 = 41 x 229
Step 2: Find the prime factorization of 9393
9393 = 3 x 31 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88190877 = 3 x 31 x 41 x 101 x 229
Step 4: Therefore, the least common multiple of 9389 and 9393 is 88190877.