Least Common Multiple of 9995 and 9999
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 9999 the smallest integer that is 99940005 that is divisible by both numbers.
Least Common Multiple (LCM) of 9995 and 9999 is 99940005.
LCM(9995,9999) = 99940005
LCM of 9995 and 9999
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9995 and 9999 by Prime method
- Least Common Multiple of 9995 and 9999 with GCF Formula
LCM of 9995 and 9999 is 99940005
Least common multiple can be found by multiplying the highest exponent prime factors of 9995 and 9999. First we will calculate the prime factors of 9995 and 9999.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 9995 and 9999.
LCM(9995,9999) = 32×51×111×1011×19991
LCM(9995,9999) = 99940005
Factors of 9995
List of positive integer factors of 9995 that divides 9995 without a remainder.
1, 5, 1999, 9995
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
Least Common Multiple of 9995 and 9999 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 9999, than apply into the LCM equation.
GCF(9995,9999) = 1
LCM(9995,9999) = ( 9995 × 9999) / 1
LCM(9995,9999) = 99940005 / 1
LCM(9995,9999) = 99940005
Properties of LCM 9995 and 9999
(i) The LCM of 9999 and 9995 is associative
LCM of 9995 and 9999 = LCM of 9999 and 9995
Related Least Common Multiples of 9995
Related Least Common Multiples of 9999
Frequently Asked Questions on LCM of 9995 and 9999
1. What is the LCM of 9995 and 9999?
Answer: LCM of 9995 and 9999 is 99940005.
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 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.
4. How to Find the LCM of 9995 and 9999?
Answer:
Least Common Multiple of 9995 and 9999 = 99940005
Step 1: Find the prime factorization of 9995
9995 = 5 x 1999
Step 2: Find the prime factorization of 9999
9999 = 3 x 3 x 11 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99940005 = 3 x 3 x 5 x 11 x 101 x 1999
Step 4: Therefore, the least common multiple of 9995 and 9999 is 99940005.
