Least Common Multiple of 9895 and 9899
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9895 and 9899 the smallest integer that is 97950605 that is divisible by both numbers.
Least Common Multiple (LCM) of 9895 and 9899 is 97950605.
LCM(9895,9899) = 97950605
LCM of 9895 and 9899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9895 and 9899 by Prime method
- Least Common Multiple of 9895 and 9899 with GCF Formula
LCM of 9895 and 9899 is 97950605
Least common multiple can be found by multiplying the highest exponent prime factors of 9895 and 9899. First we will calculate the prime factors of 9895 and 9899.
Prime Factorization of 9895
| 5 | 9895 |
| 1979 | 1979 |
| 1 |
Prime factors of 9895 are 5,1979. Prime factorization of 9895 in exponential form is:
9895 = 51×19791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9895 and 9899.
LCM(9895,9899) = 51×191×5211×19791
LCM(9895,9899) = 97950605
Factors of 9895
List of positive integer factors of 9895 that divides 9895 without a remainder.
1, 5, 1979, 9895
Factors of 9899
List of positive integer factors of 9899 that divides 9899 without a remainder.
1, 19, 521, 9899
Least Common Multiple of 9895 and 9899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9895 and 9899, than apply into the LCM equation.
GCF(9895,9899) = 1
LCM(9895,9899) = ( 9895 × 9899) / 1
LCM(9895,9899) = 97950605 / 1
LCM(9895,9899) = 97950605
Properties of LCM 9895 and 9899
(i) The LCM of 9899 and 9895 is associative
LCM of 9895 and 9899 = LCM of 9899 and 9895
Related Least Common Multiples of 9895
Related Least Common Multiples of 9899
Frequently Asked Questions on LCM of 9895 and 9899
1. What is the LCM of 9895 and 9899?
Answer: LCM of 9895 and 9899 is 97950605.
2. What are the Factors of 9895?
Answer: Factors of 9895 are 1, 5, 1979, 9895. There are 4 integers that are factors of 9895. The greatest factor of 9895 is 9895.
3. 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.
4. How to Find the LCM of 9895 and 9899?
Answer:
Least Common Multiple of 9895 and 9899 = 97950605
Step 1: Find the prime factorization of 9895
9895 = 5 x 1979
Step 2: Find the prime factorization of 9899
9899 = 19 x 521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97950605 = 5 x 19 x 521 x 1979
Step 4: Therefore, the least common multiple of 9895 and 9899 is 97950605.