Least Common Multiple of 8077 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 8077 and 8085 the smallest integer that is 65302545 that is divisible by both numbers.
Least Common Multiple (LCM) of 8077 and 8085 is 65302545.
LCM(8077,8085) = 65302545
LCM of 8077 and 8085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8077 and 8085 by Prime method
- Least Common Multiple of 8077 and 8085 with GCF Formula
LCM of 8077 and 8085 is 65302545
Least common multiple can be found by multiplying the highest exponent prime factors of 8077 and 8085. First we will calculate the prime factors of 8077 and 8085.
Prime Factorization of 8077
| 41 | 8077 |
| 197 | 197 |
| 1 |
Prime factors of 8077 are 41,197. Prime factorization of 8077 in exponential form is:
8077 = 411×1971
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 8077 and 8085.
LCM(8077,8085) = 31×51×72×111×411×1971
LCM(8077,8085) = 65302545
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1, 41, 197, 8077
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 8077 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 8077 and 8085, than apply into the LCM equation.
GCF(8077,8085) = 1
LCM(8077,8085) = ( 8077 × 8085) / 1
LCM(8077,8085) = 65302545 / 1
LCM(8077,8085) = 65302545
Properties of LCM 8077 and 8085
(i) The LCM of 8085 and 8077 is associative
LCM of 8077 and 8085 = LCM of 8085 and 8077
Related Least Common Multiples of 8077
Related Least Common Multiples of 8085
Frequently Asked Questions on LCM of 8077 and 8085
1. What is the LCM of 8077 and 8085?
Answer: LCM of 8077 and 8085 is 65302545.
2. What are the Factors of 8077?
Answer: Factors of 8077 are 1, 41, 197, 8077. There are 4 integers that are factors of 8077. The greatest factor of 8077 is 8077.
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 8077 and 8085?
Answer:
Least Common Multiple of 8077 and 8085 = 65302545
Step 1: Find the prime factorization of 8077
8077 = 41 x 197
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 = 65302545 = 3 x 5 x 7 x 7 x 11 x 41 x 197
Step 4: Therefore, the least common multiple of 8077 and 8085 is 65302545.