Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9923 and 9930 the smallest integer that is 98535390 that is divisible by both numbers.
Least Common Multiple (LCM) of 9923 and 9930 is 98535390.
LCM(9923,9930) = 98535390
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 9923 and 9930. First we will calculate the prime factors of 9923 and 9930.
Prime Factorization of 9923
9923 | 9923 |
1 |
Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:
9923 = 99231
Prime Factorization of 9930
2 | 9930 |
3 | 4965 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 9930 are 2, 3, 5,331. Prime factorization of 9930 in exponential form is:
9930 = 21×31×51×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 9923 and 9930.
LCM(9923,9930) = 21×31×51×3311×99231
LCM(9923,9930) = 98535390
Factors of 9923
List of positive integer factors of 9923 that divides 9923 without a remainder.
1, 9923
Factors of 9930
List of positive integer factors of 9930 that divides 9930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9923 and 9930, than apply into the LCM equation.
GCF(9923,9930) = 1
LCM(9923,9930) = ( 9923 × 9930) / 1
LCM(9923,9930) = 98535390 / 1
LCM(9923,9930) = 98535390
(i) The LCM of 9930 and 9923 is associative
LCM of 9923 and 9930 = LCM of 9930 and 9923
1. What is the LCM of 9923 and 9930?
Answer: LCM of 9923 and 9930 is 98535390.
2. What are the Factors of 9923?
Answer: Factors of 9923 are 1, 9923. There are 2 integers that are factors of 9923. The greatest factor of 9923 is 9923.
3. What are the Factors of 9930?
Answer: Factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930. There are 16 integers that are factors of 9930. The greatest factor of 9930 is 9930.
4. How to Find the LCM of 9923 and 9930?
Answer:
Least Common Multiple of 9923 and 9930 = 98535390
Step 1: Find the prime factorization of 9923
9923 = 9923
Step 2: Find the prime factorization of 9930
9930 = 2 x 3 x 5 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98535390 = 2 x 3 x 5 x 331 x 9923
Step 4: Therefore, the least common multiple of 9923 and 9930 is 98535390.