Least Common Multiple of 9993 and 9997
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9993 and 9997 the smallest integer that is 99900021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9993 and 9997 is 99900021.
LCM(9993,9997) = 99900021
LCM of 9993 and 9997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9993 and 9997 by Prime method
- Least Common Multiple of 9993 and 9997 with GCF Formula
LCM of 9993 and 9997 is 99900021
Least common multiple can be found by multiplying the highest exponent prime factors of 9993 and 9997. First we will calculate the prime factors of 9993 and 9997.
Prime Factorization of 9993
| 3 | 9993 |
| 3331 | 3331 |
| 1 |
Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:
9993 = 31×33311
Prime Factorization of 9997
| 13 | 9997 |
| 769 | 769 |
| 1 |
Prime factors of 9997 are 13,769. Prime factorization of 9997 in exponential form is:
9997 = 131×7691
Now multiplying the highest exponent prime factors to calculate the LCM of 9993 and 9997.
LCM(9993,9997) = 31×131×7691×33311
LCM(9993,9997) = 99900021
Factors of 9993
List of positive integer factors of 9993 that divides 9993 without a remainder.
1, 3, 3331, 9993
Factors of 9997
List of positive integer factors of 9997 that divides 9997 without a remainder.
1, 13, 769, 9997
Least Common Multiple of 9993 and 9997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9993 and 9997, than apply into the LCM equation.
GCF(9993,9997) = 1
LCM(9993,9997) = ( 9993 × 9997) / 1
LCM(9993,9997) = 99900021 / 1
LCM(9993,9997) = 99900021
Properties of LCM 9993 and 9997
(i) The LCM of 9997 and 9993 is associative
LCM of 9993 and 9997 = LCM of 9997 and 9993
Related Least Common Multiples of 9993
Related Least Common Multiples of 9997
Frequently Asked Questions on LCM of 9993 and 9997
1. What is the LCM of 9993 and 9997?
Answer: LCM of 9993 and 9997 is 99900021.
2. What are the Factors of 9993?
Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.
3. What are the Factors of 9997?
Answer: Factors of 9997 are 1, 13, 769, 9997. There are 4 integers that are factors of 9997. The greatest factor of 9997 is 9997.
4. How to Find the LCM of 9993 and 9997?
Answer:
Least Common Multiple of 9993 and 9997 = 99900021
Step 1: Find the prime factorization of 9993
9993 = 3 x 3331
Step 2: Find the prime factorization of 9997
9997 = 13 x 769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99900021 = 3 x 13 x 769 x 3331
Step 4: Therefore, the least common multiple of 9993 and 9997 is 99900021.