Least Common Multiple of 9815 and 9823
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9815 and 9823 the smallest integer that is 96412745 that is divisible by both numbers.
Least Common Multiple (LCM) of 9815 and 9823 is 96412745.
LCM(9815,9823) = 96412745
LCM of 9815 and 9823
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9815 and 9823 by Prime method
- Least Common Multiple of 9815 and 9823 with GCF Formula
LCM of 9815 and 9823 is 96412745
Least common multiple can be found by multiplying the highest exponent prime factors of 9815 and 9823. First we will calculate the prime factors of 9815 and 9823.
Prime Factorization of 9815
| 5 | 9815 |
| 13 | 1963 |
| 151 | 151 |
| 1 |
Prime factors of 9815 are 5, 13,151. Prime factorization of 9815 in exponential form is:
9815 = 51×131×1511
Prime Factorization of 9823
| 11 | 9823 |
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 9823 are 11, 19,47. Prime factorization of 9823 in exponential form is:
9823 = 111×191×471
Now multiplying the highest exponent prime factors to calculate the LCM of 9815 and 9823.
LCM(9815,9823) = 51×111×131×191×471×1511
LCM(9815,9823) = 96412745
Factors of 9815
List of positive integer factors of 9815 that divides 9815 without a remainder.
1, 5, 13, 65, 151, 755, 1963, 9815
Factors of 9823
List of positive integer factors of 9823 that divides 9823 without a remainder.
1, 11, 19, 47, 209, 517, 893, 9823
Least Common Multiple of 9815 and 9823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9815 and 9823, than apply into the LCM equation.
GCF(9815,9823) = 1
LCM(9815,9823) = ( 9815 × 9823) / 1
LCM(9815,9823) = 96412745 / 1
LCM(9815,9823) = 96412745
Properties of LCM 9815 and 9823
(i) The LCM of 9823 and 9815 is associative
LCM of 9815 and 9823 = LCM of 9823 and 9815
Related Least Common Multiples of 9815
Related Least Common Multiples of 9823
Frequently Asked Questions on LCM of 9815 and 9823
1. What is the LCM of 9815 and 9823?
Answer: LCM of 9815 and 9823 is 96412745.
2. What are the Factors of 9815?
Answer: Factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815. There are 8 integers that are factors of 9815. The greatest factor of 9815 is 9815.
3. What are the Factors of 9823?
Answer: Factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823. There are 8 integers that are factors of 9823. The greatest factor of 9823 is 9823.
4. How to Find the LCM of 9815 and 9823?
Answer:
Least Common Multiple of 9815 and 9823 = 96412745
Step 1: Find the prime factorization of 9815
9815 = 5 x 13 x 151
Step 2: Find the prime factorization of 9823
9823 = 11 x 19 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96412745 = 5 x 11 x 13 x 19 x 47 x 151
Step 4: Therefore, the least common multiple of 9815 and 9823 is 96412745.
