Least Common Multiple of 8993 and 8999
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8993 and 8999 the smallest integer that is 80928007 that is divisible by both numbers.
Least Common Multiple (LCM) of 8993 and 8999 is 80928007.
LCM(8993,8999) = 80928007
LCM of 8993 and 8999
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8993 and 8999 by Prime method
- Least Common Multiple of 8993 and 8999 with GCF Formula
LCM of 8993 and 8999 is 80928007
Least common multiple can be found by multiplying the highest exponent prime factors of 8993 and 8999. First we will calculate the prime factors of 8993 and 8999.
Prime Factorization of 8993
| 17 | 8993 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 8993 are 17,23. Prime factorization of 8993 in exponential form is:
8993 = 171×232
Prime Factorization of 8999
| 8999 | 8999 |
| 1 |
Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:
8999 = 89991
Now multiplying the highest exponent prime factors to calculate the LCM of 8993 and 8999.
LCM(8993,8999) = 171×232×89991
LCM(8993,8999) = 80928007
Factors of 8993
List of positive integer factors of 8993 that divides 8993 without a remainder.
1, 17, 23, 391, 529, 8993
Factors of 8999
List of positive integer factors of 8999 that divides 8999 without a remainder.
1, 8999
Least Common Multiple of 8993 and 8999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8993 and 8999, than apply into the LCM equation.
GCF(8993,8999) = 1
LCM(8993,8999) = ( 8993 × 8999) / 1
LCM(8993,8999) = 80928007 / 1
LCM(8993,8999) = 80928007
Properties of LCM 8993 and 8999
(i) The LCM of 8999 and 8993 is associative
LCM of 8993 and 8999 = LCM of 8999 and 8993
Related Least Common Multiples of 8993
Related Least Common Multiples of 8999
Frequently Asked Questions on LCM of 8993 and 8999
1. What is the LCM of 8993 and 8999?
Answer: LCM of 8993 and 8999 is 80928007.
2. What are the Factors of 8993?
Answer: Factors of 8993 are 1, 17, 23, 391, 529, 8993. There are 6 integers that are factors of 8993. The greatest factor of 8993 is 8993.
3. What are the Factors of 8999?
Answer: Factors of 8999 are 1, 8999. There are 2 integers that are factors of 8999. The greatest factor of 8999 is 8999.
4. How to Find the LCM of 8993 and 8999?
Answer:
Least Common Multiple of 8993 and 8999 = 80928007
Step 1: Find the prime factorization of 8993
8993 = 17 x 23 x 23
Step 2: Find the prime factorization of 8999
8999 = 8999
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80928007 = 17 x 23 x 23 x 8999
Step 4: Therefore, the least common multiple of 8993 and 8999 is 80928007.