Least Common Multiple of 9801 and 9805
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9801 and 9805 the smallest integer that is 96098805 that is divisible by both numbers.
Least Common Multiple (LCM) of 9801 and 9805 is 96098805.
LCM(9801,9805) = 96098805
LCM of 9801 and 9805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9801 and 9805 by Prime method
- Least Common Multiple of 9801 and 9805 with GCF Formula
LCM of 9801 and 9805 is 96098805
Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9805. First we will calculate the prime factors of 9801 and 9805.
Prime Factorization of 9801
| 3 | 9801 |
| 3 | 3267 |
| 3 | 1089 |
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 9801 are 3,11. Prime factorization of 9801 in exponential form is:
9801 = 34×112
Prime Factorization of 9805
| 5 | 9805 |
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 9805 are 5, 37,53. Prime factorization of 9805 in exponential form is:
9805 = 51×371×531
Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9805.
LCM(9801,9805) = 34×51×112×371×531
LCM(9801,9805) = 96098805
Factors of 9801
List of positive integer factors of 9801 that divides 9801 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
Factors of 9805
List of positive integer factors of 9805 that divides 9805 without a remainder.
1, 5, 37, 53, 185, 265, 1961, 9805
Least Common Multiple of 9801 and 9805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9801 and 9805, than apply into the LCM equation.
GCF(9801,9805) = 1
LCM(9801,9805) = ( 9801 × 9805) / 1
LCM(9801,9805) = 96098805 / 1
LCM(9801,9805) = 96098805
Properties of LCM 9801 and 9805
(i) The LCM of 9805 and 9801 is associative
LCM of 9801 and 9805 = LCM of 9805 and 9801
Related Least Common Multiples of 9801
Related Least Common Multiples of 9805
Frequently Asked Questions on LCM of 9801 and 9805
1. What is the LCM of 9801 and 9805?
Answer: LCM of 9801 and 9805 is 96098805.
2. What are the Factors of 9801?
Answer: Factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801. There are 15 integers that are factors of 9801. The greatest factor of 9801 is 9801.
3. What are the Factors of 9805?
Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.
4. How to Find the LCM of 9801 and 9805?
Answer:
Least Common Multiple of 9801 and 9805 = 96098805
Step 1: Find the prime factorization of 9801
9801 = 3 x 3 x 3 x 3 x 11 x 11
Step 2: Find the prime factorization of 9805
9805 = 5 x 37 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96098805 = 3 x 3 x 3 x 3 x 5 x 11 x 11 x 37 x 53
Step 4: Therefore, the least common multiple of 9801 and 9805 is 96098805.