Least Common Multiple of 8993 and 8997
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 8997 the smallest integer that is 80910021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8993 and 8997 is 80910021.
LCM(8993,8997) = 80910021
LCM of 8993 and 8997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8993 and 8997 by Prime method
- Least Common Multiple of 8993 and 8997 with GCF Formula
LCM of 8993 and 8997 is 80910021
Least common multiple can be found by multiplying the highest exponent prime factors of 8993 and 8997. First we will calculate the prime factors of 8993 and 8997.
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 8997
| 3 | 8997 |
| 2999 | 2999 |
| 1 |
Prime factors of 8997 are 3,2999. Prime factorization of 8997 in exponential form is:
8997 = 31×29991
Now multiplying the highest exponent prime factors to calculate the LCM of 8993 and 8997.
LCM(8993,8997) = 31×171×232×29991
LCM(8993,8997) = 80910021
Factors of 8993
List of positive integer factors of 8993 that divides 8993 without a remainder.
1, 17, 23, 391, 529, 8993
Factors of 8997
List of positive integer factors of 8997 that divides 8997 without a remainder.
1, 3, 2999, 8997
Least Common Multiple of 8993 and 8997 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 8997, than apply into the LCM equation.
GCF(8993,8997) = 1
LCM(8993,8997) = ( 8993 × 8997) / 1
LCM(8993,8997) = 80910021 / 1
LCM(8993,8997) = 80910021
Properties of LCM 8993 and 8997
(i) The LCM of 8997 and 8993 is associative
LCM of 8993 and 8997 = LCM of 8997 and 8993
Related Least Common Multiples of 8993
Related Least Common Multiples of 8997
Frequently Asked Questions on LCM of 8993 and 8997
1. What is the LCM of 8993 and 8997?
Answer: LCM of 8993 and 8997 is 80910021.
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 8997?
Answer: Factors of 8997 are 1, 3, 2999, 8997. There are 4 integers that are factors of 8997. The greatest factor of 8997 is 8997.
4. How to Find the LCM of 8993 and 8997?
Answer:
Least Common Multiple of 8993 and 8997 = 80910021
Step 1: Find the prime factorization of 8993
8993 = 17 x 23 x 23
Step 2: Find the prime factorization of 8997
8997 = 3 x 2999
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80910021 = 3 x 17 x 23 x 23 x 2999
Step 4: Therefore, the least common multiple of 8993 and 8997 is 80910021.