Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9819 and 9823 the smallest integer that is 96452037 that is divisible by both numbers.
Least Common Multiple (LCM) of 9819 and 9823 is 96452037.
LCM(9819,9823) = 96452037
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 9819 and 9823. First we will calculate the prime factors of 9819 and 9823.
Prime Factorization of 9819
3 | 9819 |
3 | 3273 |
1091 | 1091 |
1 |
Prime factors of 9819 are 3,1091. Prime factorization of 9819 in exponential form is:
9819 = 32×10911
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 9819 and 9823.
LCM(9819,9823) = 32×111×191×471×10911
LCM(9819,9823) = 96452037
Factors of 9819
List of positive integer factors of 9819 that divides 9819 without a remainder.
1, 3, 9, 1091, 3273, 9819
Factors of 9823
List of positive integer factors of 9823 that divides 9823 without a remainder.
1, 11, 19, 47, 209, 517, 893, 9823
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9819 and 9823, than apply into the LCM equation.
GCF(9819,9823) = 1
LCM(9819,9823) = ( 9819 × 9823) / 1
LCM(9819,9823) = 96452037 / 1
LCM(9819,9823) = 96452037
(i) The LCM of 9823 and 9819 is associative
LCM of 9819 and 9823 = LCM of 9823 and 9819
1. What is the LCM of 9819 and 9823?
Answer: LCM of 9819 and 9823 is 96452037.
2. What are the Factors of 9819?
Answer: Factors of 9819 are 1, 3, 9, 1091, 3273, 9819. There are 6 integers that are factors of 9819. The greatest factor of 9819 is 9819.
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 9819 and 9823?
Answer:
Least Common Multiple of 9819 and 9823 = 96452037
Step 1: Find the prime factorization of 9819
9819 = 3 x 3 x 1091
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 = 96452037 = 3 x 3 x 11 x 19 x 47 x 1091
Step 4: Therefore, the least common multiple of 9819 and 9823 is 96452037.