Least Common Multiple of 9827 and 9831
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9827 and 9831 the smallest integer that is 96609237 that is divisible by both numbers.
Least Common Multiple (LCM) of 9827 and 9831 is 96609237.
LCM(9827,9831) = 96609237
LCM of 9827 and 9831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9827 and 9831 by Prime method
- Least Common Multiple of 9827 and 9831 with GCF Formula
LCM of 9827 and 9831 is 96609237
Least common multiple can be found by multiplying the highest exponent prime factors of 9827 and 9831. First we will calculate the prime factors of 9827 and 9831.
Prime Factorization of 9827
| 31 | 9827 |
| 317 | 317 |
| 1 |
Prime factors of 9827 are 31,317. Prime factorization of 9827 in exponential form is:
9827 = 311×3171
Prime Factorization of 9831
| 3 | 9831 |
| 29 | 3277 |
| 113 | 113 |
| 1 |
Prime factors of 9831 are 3, 29,113. Prime factorization of 9831 in exponential form is:
9831 = 31×291×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 9827 and 9831.
LCM(9827,9831) = 31×291×311×1131×3171
LCM(9827,9831) = 96609237
Factors of 9827
List of positive integer factors of 9827 that divides 9827 without a remainder.
1, 31, 317, 9827
Factors of 9831
List of positive integer factors of 9831 that divides 9831 without a remainder.
1, 3, 29, 87, 113, 339, 3277, 9831
Least Common Multiple of 9827 and 9831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9827 and 9831, than apply into the LCM equation.
GCF(9827,9831) = 1
LCM(9827,9831) = ( 9827 × 9831) / 1
LCM(9827,9831) = 96609237 / 1
LCM(9827,9831) = 96609237
Properties of LCM 9827 and 9831
(i) The LCM of 9831 and 9827 is associative
LCM of 9827 and 9831 = LCM of 9831 and 9827
Related Least Common Multiples of 9827
Related Least Common Multiples of 9831
Frequently Asked Questions on LCM of 9827 and 9831
1. What is the LCM of 9827 and 9831?
Answer: LCM of 9827 and 9831 is 96609237.
2. What are the Factors of 9827?
Answer: Factors of 9827 are 1, 31, 317, 9827. There are 4 integers that are factors of 9827. The greatest factor of 9827 is 9827.
3. What are the Factors of 9831?
Answer: Factors of 9831 are 1, 3, 29, 87, 113, 339, 3277, 9831. There are 8 integers that are factors of 9831. The greatest factor of 9831 is 9831.
4. How to Find the LCM of 9827 and 9831?
Answer:
Least Common Multiple of 9827 and 9831 = 96609237
Step 1: Find the prime factorization of 9827
9827 = 31 x 317
Step 2: Find the prime factorization of 9831
9831 = 3 x 29 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96609237 = 3 x 29 x 31 x 113 x 317
Step 4: Therefore, the least common multiple of 9827 and 9831 is 96609237.