Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9813 and 9821 the smallest integer that is 96373473 that is divisible by both numbers.
Least Common Multiple (LCM) of 9813 and 9821 is 96373473.
LCM(9813,9821) = 96373473
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 9813 and 9821. First we will calculate the prime factors of 9813 and 9821.
Prime Factorization of 9813
3 | 9813 |
3271 | 3271 |
1 |
Prime factors of 9813 are 3,3271. Prime factorization of 9813 in exponential form is:
9813 = 31×32711
Prime Factorization of 9821
7 | 9821 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 9821 are 7, 23,61. Prime factorization of 9821 in exponential form is:
9821 = 71×231×611
Now multiplying the highest exponent prime factors to calculate the LCM of 9813 and 9821.
LCM(9813,9821) = 31×71×231×611×32711
LCM(9813,9821) = 96373473
Factors of 9813
List of positive integer factors of 9813 that divides 9813 without a remainder.
1, 3, 3271, 9813
Factors of 9821
List of positive integer factors of 9821 that divides 9821 without a remainder.
1, 7, 23, 61, 161, 427, 1403, 9821
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9813 and 9821, than apply into the LCM equation.
GCF(9813,9821) = 1
LCM(9813,9821) = ( 9813 × 9821) / 1
LCM(9813,9821) = 96373473 / 1
LCM(9813,9821) = 96373473
(i) The LCM of 9821 and 9813 is associative
LCM of 9813 and 9821 = LCM of 9821 and 9813
1. What is the LCM of 9813 and 9821?
Answer: LCM of 9813 and 9821 is 96373473.
2. What are the Factors of 9813?
Answer: Factors of 9813 are 1, 3, 3271, 9813. There are 4 integers that are factors of 9813. The greatest factor of 9813 is 9813.
3. What are the Factors of 9821?
Answer: Factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821. There are 8 integers that are factors of 9821. The greatest factor of 9821 is 9821.
4. How to Find the LCM of 9813 and 9821?
Answer:
Least Common Multiple of 9813 and 9821 = 96373473
Step 1: Find the prime factorization of 9813
9813 = 3 x 3271
Step 2: Find the prime factorization of 9821
9821 = 7 x 23 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96373473 = 3 x 7 x 23 x 61 x 3271
Step 4: Therefore, the least common multiple of 9813 and 9821 is 96373473.