Least Common Multiple of 9959 and 9963
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9959 and 9963 the smallest integer that is 99221517 that is divisible by both numbers.
Least Common Multiple (LCM) of 9959 and 9963 is 99221517.
LCM(9959,9963) = 99221517
LCM of 9959 and 9963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9959 and 9963 by Prime method
- Least Common Multiple of 9959 and 9963 with GCF Formula
LCM of 9959 and 9963 is 99221517
Least common multiple can be found by multiplying the highest exponent prime factors of 9959 and 9963. First we will calculate the prime factors of 9959 and 9963.
Prime Factorization of 9959
| 23 | 9959 |
| 433 | 433 |
| 1 |
Prime factors of 9959 are 23,433. Prime factorization of 9959 in exponential form is:
9959 = 231×4331
Prime Factorization of 9963
| 3 | 9963 |
| 3 | 3321 |
| 3 | 1107 |
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 9963 are 3,41. Prime factorization of 9963 in exponential form is:
9963 = 35×411
Now multiplying the highest exponent prime factors to calculate the LCM of 9959 and 9963.
LCM(9959,9963) = 35×231×411×4331
LCM(9959,9963) = 99221517
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1, 23, 433, 9959
Factors of 9963
List of positive integer factors of 9963 that divides 9963 without a remainder.
1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963
Least Common Multiple of 9959 and 9963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9959 and 9963, than apply into the LCM equation.
GCF(9959,9963) = 1
LCM(9959,9963) = ( 9959 × 9963) / 1
LCM(9959,9963) = 99221517 / 1
LCM(9959,9963) = 99221517
Properties of LCM 9959 and 9963
(i) The LCM of 9963 and 9959 is associative
LCM of 9959 and 9963 = LCM of 9963 and 9959
Related Least Common Multiples of 9959
Related Least Common Multiples of 9963
Frequently Asked Questions on LCM of 9959 and 9963
1. What is the LCM of 9959 and 9963?
Answer: LCM of 9959 and 9963 is 99221517.
2. What are the Factors of 9959?
Answer: Factors of 9959 are 1, 23, 433, 9959. There are 4 integers that are factors of 9959. The greatest factor of 9959 is 9959.
3. What are the Factors of 9963?
Answer: Factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963. There are 12 integers that are factors of 9963. The greatest factor of 9963 is 9963.
4. How to Find the LCM of 9959 and 9963?
Answer:
Least Common Multiple of 9959 and 9963 = 99221517
Step 1: Find the prime factorization of 9959
9959 = 23 x 433
Step 2: Find the prime factorization of 9963
9963 = 3 x 3 x 3 x 3 x 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99221517 = 3 x 3 x 3 x 3 x 3 x 23 x 41 x 433
Step 4: Therefore, the least common multiple of 9959 and 9963 is 99221517.