Least Common Multiple of 8987 and 8993
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8987 and 8993 the smallest integer that is 80820091 that is divisible by both numbers.
Least Common Multiple (LCM) of 8987 and 8993 is 80820091.
LCM(8987,8993) = 80820091
LCM of 8987 and 8993
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8987 and 8993 by Prime method
- Least Common Multiple of 8987 and 8993 with GCF Formula
LCM of 8987 and 8993 is 80820091
Least common multiple can be found by multiplying the highest exponent prime factors of 8987 and 8993. First we will calculate the prime factors of 8987 and 8993.
Prime Factorization of 8987
| 11 | 8987 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 8987 are 11, 19,43. Prime factorization of 8987 in exponential form is:
8987 = 111×191×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8987 and 8993.
LCM(8987,8993) = 111×171×191×232×431
LCM(8987,8993) = 80820091
Factors of 8987
List of positive integer factors of 8987 that divides 8987 without a remainder.
1, 11, 19, 43, 209, 473, 817, 8987
Factors of 8993
List of positive integer factors of 8993 that divides 8993 without a remainder.
1, 17, 23, 391, 529, 8993
Least Common Multiple of 8987 and 8993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8987 and 8993, than apply into the LCM equation.
GCF(8987,8993) = 1
LCM(8987,8993) = ( 8987 × 8993) / 1
LCM(8987,8993) = 80820091 / 1
LCM(8987,8993) = 80820091
Properties of LCM 8987 and 8993
(i) The LCM of 8993 and 8987 is associative
LCM of 8987 and 8993 = LCM of 8993 and 8987
Related Least Common Multiples of 8987
Related Least Common Multiples of 8993
Frequently Asked Questions on LCM of 8987 and 8993
1. What is the LCM of 8987 and 8993?
Answer: LCM of 8987 and 8993 is 80820091.
2. What are the Factors of 8987?
Answer: Factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987. There are 8 integers that are factors of 8987. The greatest factor of 8987 is 8987.
3. 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.
4. How to Find the LCM of 8987 and 8993?
Answer:
Least Common Multiple of 8987 and 8993 = 80820091
Step 1: Find the prime factorization of 8987
8987 = 11 x 19 x 43
Step 2: Find the prime factorization of 8993
8993 = 17 x 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80820091 = 11 x 17 x 19 x 23 x 23 x 43
Step 4: Therefore, the least common multiple of 8987 and 8993 is 80820091.