Least Common Multiple of 9899 and 9905
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9899 and 9905 the smallest integer that is 98049595 that is divisible by both numbers.
Least Common Multiple (LCM) of 9899 and 9905 is 98049595.
LCM(9899,9905) = 98049595
LCM of 9899 and 9905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9899 and 9905 by Prime method
- Least Common Multiple of 9899 and 9905 with GCF Formula
LCM of 9899 and 9905 is 98049595
Least common multiple can be found by multiplying the highest exponent prime factors of 9899 and 9905. First we will calculate the prime factors of 9899 and 9905.
Prime Factorization of 9899
| 19 | 9899 |
| 521 | 521 |
| 1 |
Prime factors of 9899 are 19,521. Prime factorization of 9899 in exponential form is:
9899 = 191×5211
Prime Factorization of 9905
| 5 | 9905 |
| 7 | 1981 |
| 283 | 283 |
| 1 |
Prime factors of 9905 are 5, 7,283. Prime factorization of 9905 in exponential form is:
9905 = 51×71×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 9899 and 9905.
LCM(9899,9905) = 51×71×191×2831×5211
LCM(9899,9905) = 98049595
Factors of 9899
List of positive integer factors of 9899 that divides 9899 without a remainder.
1, 19, 521, 9899
Factors of 9905
List of positive integer factors of 9905 that divides 9905 without a remainder.
1, 5, 7, 35, 283, 1415, 1981, 9905
Least Common Multiple of 9899 and 9905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9899 and 9905, than apply into the LCM equation.
GCF(9899,9905) = 1
LCM(9899,9905) = ( 9899 × 9905) / 1
LCM(9899,9905) = 98049595 / 1
LCM(9899,9905) = 98049595
Properties of LCM 9899 and 9905
(i) The LCM of 9905 and 9899 is associative
LCM of 9899 and 9905 = LCM of 9905 and 9899
Related Least Common Multiples of 9899
Related Least Common Multiples of 9905
Frequently Asked Questions on LCM of 9899 and 9905
1. What is the LCM of 9899 and 9905?
Answer: LCM of 9899 and 9905 is 98049595.
2. What are the Factors of 9899?
Answer: Factors of 9899 are 1, 19, 521, 9899. There are 4 integers that are factors of 9899. The greatest factor of 9899 is 9899.
3. What are the Factors of 9905?
Answer: Factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905. There are 8 integers that are factors of 9905. The greatest factor of 9905 is 9905.
4. How to Find the LCM of 9899 and 9905?
Answer:
Least Common Multiple of 9899 and 9905 = 98049595
Step 1: Find the prime factorization of 9899
9899 = 19 x 521
Step 2: Find the prime factorization of 9905
9905 = 5 x 7 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98049595 = 5 x 7 x 19 x 283 x 521
Step 4: Therefore, the least common multiple of 9899 and 9905 is 98049595.