Least Common Multiple of 9999 and 10001
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9999 and 10001 the smallest integer that is 99999999 that is divisible by both numbers.
Least Common Multiple (LCM) of 9999 and 10001 is 99999999.
LCM(9999,10001) = 99999999
LCM of 9999 and 10001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9999 and 10001 by Prime method
- Least Common Multiple of 9999 and 10001 with GCF Formula
LCM of 9999 and 10001 is 99999999
Least common multiple can be found by multiplying the highest exponent prime factors of 9999 and 10001. First we will calculate the prime factors of 9999 and 10001.
Prime Factorization of 9999
| 3 | 9999 |
| 3 | 3333 |
| 11 | 1111 |
| 101 | 101 |
| 1 |
Prime factors of 9999 are 3, 11,101. Prime factorization of 9999 in exponential form is:
9999 = 32×111×1011
Prime Factorization of 10001
| 73 | 10001 |
| 137 | 137 |
| 1 |
Prime factors of 10001 are 73,137. Prime factorization of 10001 in exponential form is:
10001 = 731×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 9999 and 10001.
LCM(9999,10001) = 32×111×731×1011×1371
LCM(9999,10001) = 99999999
Factors of 9999
List of positive integer factors of 9999 that divides 9999 without a remainder.
1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
Factors of 10001
List of positive integer factors of 10001 that divides 10001 without a remainder.
1, 73, 137, 10001
Least Common Multiple of 9999 and 10001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9999 and 10001, than apply into the LCM equation.
GCF(9999,10001) = 1
LCM(9999,10001) = ( 9999 × 10001) / 1
LCM(9999,10001) = 99999999 / 1
LCM(9999,10001) = 99999999
Properties of LCM 9999 and 10001
(i) The LCM of 10001 and 9999 is associative
LCM of 9999 and 10001 = LCM of 10001 and 9999
Related Least Common Multiples of 9999
Related Least Common Multiples of 10001
Frequently Asked Questions on LCM of 9999 and 10001
1. What is the LCM of 9999 and 10001?
Answer: LCM of 9999 and 10001 is 99999999.
2. What are the Factors of 9999?
Answer: Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999. There are 12 integers that are factors of 9999. The greatest factor of 9999 is 9999.
3. What are the Factors of 10001?
Answer: Factors of 10001 are 1, 73, 137, 10001. There are 4 integers that are factors of 10001. The greatest factor of 10001 is 10001.
4. How to Find the LCM of 9999 and 10001?
Answer:
Least Common Multiple of 9999 and 10001 = 99999999
Step 1: Find the prime factorization of 9999
9999 = 3 x 3 x 11 x 101
Step 2: Find the prime factorization of 10001
10001 = 73 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99999999 = 3 x 3 x 11 x 73 x 101 x 137
Step 4: Therefore, the least common multiple of 9999 and 10001 is 99999999.