Least Common Multiple of 8085 and 8086
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8085 and 8086 the smallest integer that is 65375310 that is divisible by both numbers.
Least Common Multiple (LCM) of 8085 and 8086 is 65375310.
LCM(8085,8086) = 65375310
LCM of 8085 and 8086
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8085 and 8086 by Prime method
- Least Common Multiple of 8085 and 8086 with GCF Formula
LCM of 8085 and 8086 is 65375310
Least common multiple can be found by multiplying the highest exponent prime factors of 8085 and 8086. First we will calculate the prime factors of 8085 and 8086.
Prime Factorization of 8085
| 3 | 8085 |
| 5 | 2695 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 8085 are 3, 5, 7,11. Prime factorization of 8085 in exponential form is:
8085 = 31×51×72×111
Prime Factorization of 8086
| 2 | 8086 |
| 13 | 4043 |
| 311 | 311 |
| 1 |
Prime factors of 8086 are 2, 13,311. Prime factorization of 8086 in exponential form is:
8086 = 21×131×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 8085 and 8086.
LCM(8085,8086) = 21×31×51×72×111×131×3111
LCM(8085,8086) = 65375310
Factors of 8085
List of positive integer factors of 8085 that divides 8085 without a remainder.
1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085
Factors of 8086
List of positive integer factors of 8086 that divides 8086 without a remainder.
1, 2, 13, 26, 311, 622, 4043, 8086
Least Common Multiple of 8085 and 8086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8085 and 8086, than apply into the LCM equation.
GCF(8085,8086) = 1
LCM(8085,8086) = ( 8085 × 8086) / 1
LCM(8085,8086) = 65375310 / 1
LCM(8085,8086) = 65375310
Properties of LCM 8085 and 8086
(i) The LCM of 8086 and 8085 is associative
LCM of 8085 and 8086 = LCM of 8086 and 8085
Related Least Common Multiples of 8085
Related Least Common Multiples of 8086
Frequently Asked Questions on LCM of 8085 and 8086
1. What is the LCM of 8085 and 8086?
Answer: LCM of 8085 and 8086 is 65375310.
2. What are the Factors of 8085?
Answer: Factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085. There are 24 integers that are factors of 8085. The greatest factor of 8085 is 8085.
3. What are the Factors of 8086?
Answer: Factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086. There are 8 integers that are factors of 8086. The greatest factor of 8086 is 8086.
4. How to Find the LCM of 8085 and 8086?
Answer:
Least Common Multiple of 8085 and 8086 = 65375310
Step 1: Find the prime factorization of 8085
8085 = 3 x 5 x 7 x 7 x 11
Step 2: Find the prime factorization of 8086
8086 = 2 x 13 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65375310 = 2 x 3 x 5 x 7 x 7 x 11 x 13 x 311
Step 4: Therefore, the least common multiple of 8085 and 8086 is 65375310.