Least Common Multiple of 9991 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 9991 and 9997 the smallest integer that is 99880027 that is divisible by both numbers.
Least Common Multiple (LCM) of 9991 and 9997 is 99880027.
LCM(9991,9997) = 99880027
LCM of 9991 and 9997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9991 and 9997 by Prime method
- Least Common Multiple of 9991 and 9997 with GCF Formula
LCM of 9991 and 9997 is 99880027
Least common multiple can be found by multiplying the highest exponent prime factors of 9991 and 9997. First we will calculate the prime factors of 9991 and 9997.
Prime Factorization of 9991
| 97 | 9991 |
| 103 | 103 |
| 1 |
Prime factors of 9991 are 97,103. Prime factorization of 9991 in exponential form is:
9991 = 971×1031
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 9991 and 9997.
LCM(9991,9997) = 131×971×1031×7691
LCM(9991,9997) = 99880027
Factors of 9991
List of positive integer factors of 9991 that divides 9991 without a remainder.
1, 97, 103, 9991
Factors of 9997
List of positive integer factors of 9997 that divides 9997 without a remainder.
1, 13, 769, 9997
Least Common Multiple of 9991 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 9991 and 9997, than apply into the LCM equation.
GCF(9991,9997) = 1
LCM(9991,9997) = ( 9991 × 9997) / 1
LCM(9991,9997) = 99880027 / 1
LCM(9991,9997) = 99880027
Properties of LCM 9991 and 9997
(i) The LCM of 9997 and 9991 is associative
LCM of 9991 and 9997 = LCM of 9997 and 9991
Related Least Common Multiples of 9991
Related Least Common Multiples of 9997
Frequently Asked Questions on LCM of 9991 and 9997
1. What is the LCM of 9991 and 9997?
Answer: LCM of 9991 and 9997 is 99880027.
2. What are the Factors of 9991?
Answer: Factors of 9991 are 1, 97, 103, 9991. There are 4 integers that are factors of 9991. The greatest factor of 9991 is 9991.
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 9991 and 9997?
Answer:
Least Common Multiple of 9991 and 9997 = 99880027
Step 1: Find the prime factorization of 9991
9991 = 97 x 103
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 = 99880027 = 13 x 97 x 103 x 769
Step 4: Therefore, the least common multiple of 9991 and 9997 is 99880027.