Least Common Multiple of 9982 and 9987
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9982 and 9987 the smallest integer that is 99690234 that is divisible by both numbers.
Least Common Multiple (LCM) of 9982 and 9987 is 99690234.
LCM(9982,9987) = 99690234
LCM of 9982 and 9987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9982 and 9987 by Prime method
- Least Common Multiple of 9982 and 9987 with GCF Formula
LCM of 9982 and 9987 is 99690234
Least common multiple can be found by multiplying the highest exponent prime factors of 9982 and 9987. First we will calculate the prime factors of 9982 and 9987.
Prime Factorization of 9982
| 2 | 9982 |
| 7 | 4991 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 9982 are 2, 7, 23,31. Prime factorization of 9982 in exponential form is:
9982 = 21×71×231×311
Prime Factorization of 9987
| 3 | 9987 |
| 3329 | 3329 |
| 1 |
Prime factors of 9987 are 3,3329. Prime factorization of 9987 in exponential form is:
9987 = 31×33291
Now multiplying the highest exponent prime factors to calculate the LCM of 9982 and 9987.
LCM(9982,9987) = 21×31×71×231×311×33291
LCM(9982,9987) = 99690234
Factors of 9982
List of positive integer factors of 9982 that divides 9982 without a remainder.
1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
Factors of 9987
List of positive integer factors of 9987 that divides 9987 without a remainder.
1, 3, 3329, 9987
Least Common Multiple of 9982 and 9987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9982 and 9987, than apply into the LCM equation.
GCF(9982,9987) = 1
LCM(9982,9987) = ( 9982 × 9987) / 1
LCM(9982,9987) = 99690234 / 1
LCM(9982,9987) = 99690234
Properties of LCM 9982 and 9987
(i) The LCM of 9987 and 9982 is associative
LCM of 9982 and 9987 = LCM of 9987 and 9982
Related Least Common Multiples of 9982
Related Least Common Multiples of 9987
Frequently Asked Questions on LCM of 9982 and 9987
1. What is the LCM of 9982 and 9987?
Answer: LCM of 9982 and 9987 is 99690234.
2. What are the Factors of 9982?
Answer: Factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982. There are 16 integers that are factors of 9982. The greatest factor of 9982 is 9982.
3. What are the Factors of 9987?
Answer: Factors of 9987 are 1, 3, 3329, 9987. There are 4 integers that are factors of 9987. The greatest factor of 9987 is 9987.
4. How to Find the LCM of 9982 and 9987?
Answer:
Least Common Multiple of 9982 and 9987 = 99690234
Step 1: Find the prime factorization of 9982
9982 = 2 x 7 x 23 x 31
Step 2: Find the prime factorization of 9987
9987 = 3 x 3329
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99690234 = 2 x 3 x 7 x 23 x 31 x 3329
Step 4: Therefore, the least common multiple of 9982 and 9987 is 99690234.