Least Common Multiple of 9889 and 9893
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9889 and 9893 the smallest integer that is 97831877 that is divisible by both numbers.
Least Common Multiple (LCM) of 9889 and 9893 is 97831877.
LCM(9889,9893) = 97831877
LCM of 9889 and 9893
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9889 and 9893 by Prime method
- Least Common Multiple of 9889 and 9893 with GCF Formula
LCM of 9889 and 9893 is 97831877
Least common multiple can be found by multiplying the highest exponent prime factors of 9889 and 9893. First we will calculate the prime factors of 9889 and 9893.
Prime Factorization of 9889
| 11 | 9889 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 9889 are 11, 29,31. Prime factorization of 9889 in exponential form is:
9889 = 111×291×311
Prime Factorization of 9893
| 13 | 9893 |
| 761 | 761 |
| 1 |
Prime factors of 9893 are 13,761. Prime factorization of 9893 in exponential form is:
9893 = 131×7611
Now multiplying the highest exponent prime factors to calculate the LCM of 9889 and 9893.
LCM(9889,9893) = 111×131×291×311×7611
LCM(9889,9893) = 97831877
Factors of 9889
List of positive integer factors of 9889 that divides 9889 without a remainder.
1, 11, 29, 31, 319, 341, 899, 9889
Factors of 9893
List of positive integer factors of 9893 that divides 9893 without a remainder.
1, 13, 761, 9893
Least Common Multiple of 9889 and 9893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9889 and 9893, than apply into the LCM equation.
GCF(9889,9893) = 1
LCM(9889,9893) = ( 9889 × 9893) / 1
LCM(9889,9893) = 97831877 / 1
LCM(9889,9893) = 97831877
Properties of LCM 9889 and 9893
(i) The LCM of 9893 and 9889 is associative
LCM of 9889 and 9893 = LCM of 9893 and 9889
Related Least Common Multiples of 9889
Related Least Common Multiples of 9893
Frequently Asked Questions on LCM of 9889 and 9893
1. What is the LCM of 9889 and 9893?
Answer: LCM of 9889 and 9893 is 97831877.
2. What are the Factors of 9889?
Answer: Factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889. There are 8 integers that are factors of 9889. The greatest factor of 9889 is 9889.
3. What are the Factors of 9893?
Answer: Factors of 9893 are 1, 13, 761, 9893. There are 4 integers that are factors of 9893. The greatest factor of 9893 is 9893.
4. How to Find the LCM of 9889 and 9893?
Answer:
Least Common Multiple of 9889 and 9893 = 97831877
Step 1: Find the prime factorization of 9889
9889 = 11 x 29 x 31
Step 2: Find the prime factorization of 9893
9893 = 13 x 761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97831877 = 11 x 13 x 29 x 31 x 761
Step 4: Therefore, the least common multiple of 9889 and 9893 is 97831877.