Least Common Multiple of 9995 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 9995 and 10001 the smallest integer that is 99959995 that is divisible by both numbers.
Least Common Multiple (LCM) of 9995 and 10001 is 99959995.
LCM(9995,10001) = 99959995
LCM of 9995 and 10001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9995 and 10001 by Prime method
- Least Common Multiple of 9995 and 10001 with GCF Formula
LCM of 9995 and 10001 is 99959995
Least common multiple can be found by multiplying the highest exponent prime factors of 9995 and 10001. First we will calculate the prime factors of 9995 and 10001.
Prime Factorization of 9995
| 5 | 9995 |
| 1999 | 1999 |
| 1 |
Prime factors of 9995 are 5,1999. Prime factorization of 9995 in exponential form is:
9995 = 51×19991
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 9995 and 10001.
LCM(9995,10001) = 51×731×1371×19991
LCM(9995,10001) = 99959995
Factors of 9995
List of positive integer factors of 9995 that divides 9995 without a remainder.
1, 5, 1999, 9995
Factors of 10001
List of positive integer factors of 10001 that divides 10001 without a remainder.
1, 73, 137, 10001
Least Common Multiple of 9995 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 9995 and 10001, than apply into the LCM equation.
GCF(9995,10001) = 1
LCM(9995,10001) = ( 9995 × 10001) / 1
LCM(9995,10001) = 99959995 / 1
LCM(9995,10001) = 99959995
Properties of LCM 9995 and 10001
(i) The LCM of 10001 and 9995 is associative
LCM of 9995 and 10001 = LCM of 10001 and 9995
Related Least Common Multiples of 9995
Related Least Common Multiples of 10001
Frequently Asked Questions on LCM of 9995 and 10001
1. What is the LCM of 9995 and 10001?
Answer: LCM of 9995 and 10001 is 99959995.
2. What are the Factors of 9995?
Answer: Factors of 9995 are 1, 5, 1999, 9995. There are 4 integers that are factors of 9995. The greatest factor of 9995 is 9995.
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 9995 and 10001?
Answer:
Least Common Multiple of 9995 and 10001 = 99959995
Step 1: Find the prime factorization of 9995
9995 = 5 x 1999
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 = 99959995 = 5 x 73 x 137 x 1999
Step 4: Therefore, the least common multiple of 9995 and 10001 is 99959995.