Least Common Multiple of 9926 and 9933
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 9933 the smallest integer that is 14084994 that is divisible by both numbers.
Least Common Multiple (LCM) of 9926 and 9933 is 14084994.
LCM(9926,9933) = 14084994
LCM of 9926 and 9933
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9926 and 9933 by Prime method
- Least Common Multiple of 9926 and 9933 with GCF Formula
LCM of 9926 and 9933 is 14084994
Least common multiple can be found by multiplying the highest exponent prime factors of 9926 and 9933. First we will calculate the prime factors of 9926 and 9933.
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 9933
| 3 | 9933 |
| 7 | 3311 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 9933 are 3, 7, 11,43. Prime factorization of 9933 in exponential form is:
9933 = 31×71×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 9926 and 9933.
LCM(9926,9933) = 21×31×71×111×431×7091
LCM(9926,9933) = 14084994
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 9933
List of positive integer factors of 9933 that divides 9933 without a remainder.
1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933
Least Common Multiple of 9926 and 9933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9926 and 9933, than apply into the LCM equation.
GCF(9926,9933) = 7
LCM(9926,9933) = ( 9926 × 9933) / 7
LCM(9926,9933) = 98594958 / 7
LCM(9926,9933) = 14084994
Properties of LCM 9926 and 9933
(i) The LCM of 9933 and 9926 is associative
LCM of 9926 and 9933 = LCM of 9933 and 9926
Related Least Common Multiples of 9926
Related Least Common Multiples of 9933
Frequently Asked Questions on LCM of 9926 and 9933
1. What is the LCM of 9926 and 9933?
Answer: LCM of 9926 and 9933 is 14084994.
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 9933?
Answer: Factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933. There are 16 integers that are factors of 9933. The greatest factor of 9933 is 9933.
4. How to Find the LCM of 9926 and 9933?
Answer:
Least Common Multiple of 9926 and 9933 = 14084994
Step 1: Find the prime factorization of 9926
9926 = 2 x 7 x 709
Step 2: Find the prime factorization of 9933
9933 = 3 x 7 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14084994 = 2 x 3 x 7 x 11 x 43 x 709
Step 4: Therefore, the least common multiple of 9926 and 9933 is 14084994.