Least Common Multiple of 9922 and 9923
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9922 and 9923 the smallest integer that is 98456006 that is divisible by both numbers.
Least Common Multiple (LCM) of 9922 and 9923 is 98456006.
LCM(9922,9923) = 98456006
LCM of 9922 and 9923
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9922 and 9923 by Prime method
- Least Common Multiple of 9922 and 9923 with GCF Formula
LCM of 9922 and 9923 is 98456006
Least common multiple can be found by multiplying the highest exponent prime factors of 9922 and 9923. First we will calculate the prime factors of 9922 and 9923.
Prime Factorization of 9922
| 2 | 9922 |
| 11 | 4961 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 9922 are 2, 11,41. Prime factorization of 9922 in exponential form is:
9922 = 21×112×411
Prime Factorization of 9923
| 9923 | 9923 |
| 1 |
Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:
9923 = 99231
Now multiplying the highest exponent prime factors to calculate the LCM of 9922 and 9923.
LCM(9922,9923) = 21×112×411×99231
LCM(9922,9923) = 98456006
Factors of 9922
List of positive integer factors of 9922 that divides 9922 without a remainder.
1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922
Factors of 9923
List of positive integer factors of 9923 that divides 9923 without a remainder.
1, 9923
Least Common Multiple of 9922 and 9923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9922 and 9923, than apply into the LCM equation.
GCF(9922,9923) = 1
LCM(9922,9923) = ( 9922 × 9923) / 1
LCM(9922,9923) = 98456006 / 1
LCM(9922,9923) = 98456006
Properties of LCM 9922 and 9923
(i) The LCM of 9923 and 9922 is associative
LCM of 9922 and 9923 = LCM of 9923 and 9922
Related Least Common Multiples of 9922
Related Least Common Multiples of 9923
Frequently Asked Questions on LCM of 9922 and 9923
1. What is the LCM of 9922 and 9923?
Answer: LCM of 9922 and 9923 is 98456006.
2. What are the Factors of 9922?
Answer: Factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922. There are 12 integers that are factors of 9922. The greatest factor of 9922 is 9922.
3. 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.
4. How to Find the LCM of 9922 and 9923?
Answer:
Least Common Multiple of 9922 and 9923 = 98456006
Step 1: Find the prime factorization of 9922
9922 = 2 x 11 x 11 x 41
Step 2: Find the prime factorization of 9923
9923 = 9923
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98456006 = 2 x 11 x 11 x 41 x 9923
Step 4: Therefore, the least common multiple of 9922 and 9923 is 98456006.