Least Common Multiple of 9881 and 9889
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9881 and 9889 the smallest integer that is 97713209 that is divisible by both numbers.
Least Common Multiple (LCM) of 9881 and 9889 is 97713209.
LCM(9881,9889) = 97713209
LCM of 9881 and 9889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9881 and 9889 by Prime method
- Least Common Multiple of 9881 and 9889 with GCF Formula
LCM of 9881 and 9889 is 97713209
Least common multiple can be found by multiplying the highest exponent prime factors of 9881 and 9889. First we will calculate the prime factors of 9881 and 9889.
Prime Factorization of 9881
| 41 | 9881 |
| 241 | 241 |
| 1 |
Prime factors of 9881 are 41,241. Prime factorization of 9881 in exponential form is:
9881 = 411×2411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9881 and 9889.
LCM(9881,9889) = 111×291×311×411×2411
LCM(9881,9889) = 97713209
Factors of 9881
List of positive integer factors of 9881 that divides 9881 without a remainder.
1, 41, 241, 9881
Factors of 9889
List of positive integer factors of 9889 that divides 9889 without a remainder.
1, 11, 29, 31, 319, 341, 899, 9889
Least Common Multiple of 9881 and 9889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9881 and 9889, than apply into the LCM equation.
GCF(9881,9889) = 1
LCM(9881,9889) = ( 9881 × 9889) / 1
LCM(9881,9889) = 97713209 / 1
LCM(9881,9889) = 97713209
Properties of LCM 9881 and 9889
(i) The LCM of 9889 and 9881 is associative
LCM of 9881 and 9889 = LCM of 9889 and 9881
Related Least Common Multiples of 9881
Related Least Common Multiples of 9889
Frequently Asked Questions on LCM of 9881 and 9889
1. What is the LCM of 9881 and 9889?
Answer: LCM of 9881 and 9889 is 97713209.
2. What are the Factors of 9881?
Answer: Factors of 9881 are 1, 41, 241, 9881. There are 4 integers that are factors of 9881. The greatest factor of 9881 is 9881.
3. 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.
4. How to Find the LCM of 9881 and 9889?
Answer:
Least Common Multiple of 9881 and 9889 = 97713209
Step 1: Find the prime factorization of 9881
9881 = 41 x 241
Step 2: Find the prime factorization of 9889
9889 = 11 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97713209 = 11 x 29 x 31 x 41 x 241
Step 4: Therefore, the least common multiple of 9881 and 9889 is 97713209.