Least Common Multiple of 8987 and 8995
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 8995 the smallest integer that is 80838065 that is divisible by both numbers.
Least Common Multiple (LCM) of 8987 and 8995 is 80838065.
LCM(8987,8995) = 80838065
LCM of 8987 and 8995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8987 and 8995 by Prime method
- Least Common Multiple of 8987 and 8995 with GCF Formula
LCM of 8987 and 8995 is 80838065
Least common multiple can be found by multiplying the highest exponent prime factors of 8987 and 8995. First we will calculate the prime factors of 8987 and 8995.
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 8995
| 5 | 8995 |
| 7 | 1799 |
| 257 | 257 |
| 1 |
Prime factors of 8995 are 5, 7,257. Prime factorization of 8995 in exponential form is:
8995 = 51×71×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 8987 and 8995.
LCM(8987,8995) = 51×71×111×191×431×2571
LCM(8987,8995) = 80838065
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 8995
List of positive integer factors of 8995 that divides 8995 without a remainder.
1, 5, 7, 35, 257, 1285, 1799, 8995
Least Common Multiple of 8987 and 8995 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 8995, than apply into the LCM equation.
GCF(8987,8995) = 1
LCM(8987,8995) = ( 8987 × 8995) / 1
LCM(8987,8995) = 80838065 / 1
LCM(8987,8995) = 80838065
Properties of LCM 8987 and 8995
(i) The LCM of 8995 and 8987 is associative
LCM of 8987 and 8995 = LCM of 8995 and 8987
Related Least Common Multiples of 8987
Related Least Common Multiples of 8995
Frequently Asked Questions on LCM of 8987 and 8995
1. What is the LCM of 8987 and 8995?
Answer: LCM of 8987 and 8995 is 80838065.
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 8995?
Answer: Factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995. There are 8 integers that are factors of 8995. The greatest factor of 8995 is 8995.
4. How to Find the LCM of 8987 and 8995?
Answer:
Least Common Multiple of 8987 and 8995 = 80838065
Step 1: Find the prime factorization of 8987
8987 = 11 x 19 x 43
Step 2: Find the prime factorization of 8995
8995 = 5 x 7 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80838065 = 5 x 7 x 11 x 19 x 43 x 257
Step 4: Therefore, the least common multiple of 8987 and 8995 is 80838065.