Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9926 and 9930 the smallest integer that is 49282590 that is divisible by both numbers.
Least Common Multiple (LCM) of 9926 and 9930 is 49282590.
LCM(9926,9930) = 49282590
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 9926 and 9930. First we will calculate the prime factors of 9926 and 9930.
Prime Factorization of 9926
2 | 9926 |
7 | 4963 |
709 | 709 |
1 |
Prime factors of 9926 are 2, 7,709. Prime factorization of 9926 in exponential form is:
9926 = 21×71×7091
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 9926 and 9930.
LCM(9926,9930) = 21×31×51×71×3311×7091
LCM(9926,9930) = 49282590
Factors of 9926
List of positive integer factors of 9926 that divides 9926 without a remainder.
1, 2, 7, 14, 709, 1418, 4963, 9926
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 9926 and 9930, than apply into the LCM equation.
GCF(9926,9930) = 2
LCM(9926,9930) = ( 9926 × 9930) / 2
LCM(9926,9930) = 98565180 / 2
LCM(9926,9930) = 49282590
(i) The LCM of 9930 and 9926 is associative
LCM of 9926 and 9930 = LCM of 9930 and 9926
1. What is the LCM of 9926 and 9930?
Answer: LCM of 9926 and 9930 is 49282590.
2. What are the Factors of 9926?
Answer: Factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926. There are 8 integers that are factors of 9926. The greatest factor of 9926 is 9926.
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 9926 and 9930?
Answer:
Least Common Multiple of 9926 and 9930 = 49282590
Step 1: Find the prime factorization of 9926
9926 = 2 x 7 x 709
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 = 49282590 = 2 x 3 x 5 x 7 x 331 x 709
Step 4: Therefore, the least common multiple of 9926 and 9930 is 49282590.