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 9822 the smallest integer that is 96402930 that is divisible by both numbers.
Least Common Multiple (LCM) of 9815 and 9822 is 96402930.
LCM(9815,9822) = 96402930
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9815 and 9822. First we will calculate the prime factors of 9815 and 9822.
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 9822
2 | 9822 |
3 | 4911 |
1637 | 1637 |
1 |
Prime factors of 9822 are 2, 3,1637. Prime factorization of 9822 in exponential form is:
9822 = 21×31×16371
Now multiplying the highest exponent prime factors to calculate the LCM of 9815 and 9822.
LCM(9815,9822) = 21×31×51×131×1511×16371
LCM(9815,9822) = 96402930
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 9822
List of positive integer factors of 9822 that divides 9822 without a remainder.
1, 2, 3, 6, 1637, 3274, 4911, 9822
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9815 and 9822, than apply into the LCM equation.
GCF(9815,9822) = 1
LCM(9815,9822) = ( 9815 × 9822) / 1
LCM(9815,9822) = 96402930 / 1
LCM(9815,9822) = 96402930
(i) The LCM of 9822 and 9815 is associative
LCM of 9815 and 9822 = LCM of 9822 and 9815
1. What is the LCM of 9815 and 9822?
Answer: LCM of 9815 and 9822 is 96402930.
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 9822?
Answer: Factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822. There are 8 integers that are factors of 9822. The greatest factor of 9822 is 9822.
4. How to Find the LCM of 9815 and 9822?
Answer:
Least Common Multiple of 9815 and 9822 = 96402930
Step 1: Find the prime factorization of 9815
9815 = 5 x 13 x 151
Step 2: Find the prime factorization of 9822
9822 = 2 x 3 x 1637
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96402930 = 2 x 3 x 5 x 13 x 151 x 1637
Step 4: Therefore, the least common multiple of 9815 and 9822 is 96402930.