Least Common Multiple of 8081 and 8085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8081 and 8085 the smallest integer that is 65334885 that is divisible by both numbers.
Least Common Multiple (LCM) of 8081 and 8085 is 65334885.
LCM(8081,8085) = 65334885
LCM of 8081 and 8085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8081 and 8085 by Prime method
- Least Common Multiple of 8081 and 8085 with GCF Formula
LCM of 8081 and 8085 is 65334885
Least common multiple can be found by multiplying the highest exponent prime factors of 8081 and 8085. First we will calculate the prime factors of 8081 and 8085.
Prime Factorization of 8081
| 8081 | 8081 |
| 1 |
Prime factors of 8081 are 8081. Prime factorization of 8081 in exponential form is:
8081 = 80811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8081 and 8085.
LCM(8081,8085) = 31×51×72×111×80811
LCM(8081,8085) = 65334885
Factors of 8081
List of positive integer factors of 8081 that divides 8081 without a remainder.
1, 8081
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
Least Common Multiple of 8081 and 8085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8081 and 8085, than apply into the LCM equation.
GCF(8081,8085) = 1
LCM(8081,8085) = ( 8081 × 8085) / 1
LCM(8081,8085) = 65334885 / 1
LCM(8081,8085) = 65334885
Properties of LCM 8081 and 8085
(i) The LCM of 8085 and 8081 is associative
LCM of 8081 and 8085 = LCM of 8085 and 8081
Related Least Common Multiples of 8081
Related Least Common Multiples of 8085
Frequently Asked Questions on LCM of 8081 and 8085
1. What is the LCM of 8081 and 8085?
Answer: LCM of 8081 and 8085 is 65334885.
2. What are the Factors of 8081?
Answer: Factors of 8081 are 1, 8081. There are 2 integers that are factors of 8081. The greatest factor of 8081 is 8081.
3. 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.
4. How to Find the LCM of 8081 and 8085?
Answer:
Least Common Multiple of 8081 and 8085 = 65334885
Step 1: Find the prime factorization of 8081
8081 = 8081
Step 2: Find the prime factorization of 8085
8085 = 3 x 5 x 7 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65334885 = 3 x 5 x 7 x 7 x 11 x 8081
Step 4: Therefore, the least common multiple of 8081 and 8085 is 65334885.