Least Common Multiple of 8075 and 8077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8075 and 8077 the smallest integer that is 65221775 that is divisible by both numbers.
Least Common Multiple (LCM) of 8075 and 8077 is 65221775.
LCM(8075,8077) = 65221775
LCM of 8075 and 8077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8075 and 8077 by Prime method
- Least Common Multiple of 8075 and 8077 with GCF Formula
LCM of 8075 and 8077 is 65221775
Least common multiple can be found by multiplying the highest exponent prime factors of 8075 and 8077. First we will calculate the prime factors of 8075 and 8077.
Prime Factorization of 8075
| 5 | 8075 |
| 5 | 1615 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 8075 are 5, 17,19. Prime factorization of 8075 in exponential form is:
8075 = 52×171×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8075 and 8077.
LCM(8075,8077) = 52×171×191×411×1971
LCM(8075,8077) = 65221775
Factors of 8075
List of positive integer factors of 8075 that divides 8075 without a remainder.
1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1, 41, 197, 8077
Least Common Multiple of 8075 and 8077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8075 and 8077, than apply into the LCM equation.
GCF(8075,8077) = 1
LCM(8075,8077) = ( 8075 × 8077) / 1
LCM(8075,8077) = 65221775 / 1
LCM(8075,8077) = 65221775
Properties of LCM 8075 and 8077
(i) The LCM of 8077 and 8075 is associative
LCM of 8075 and 8077 = LCM of 8077 and 8075
Related Least Common Multiples of 8075
Related Least Common Multiples of 8077
Frequently Asked Questions on LCM of 8075 and 8077
1. What is the LCM of 8075 and 8077?
Answer: LCM of 8075 and 8077 is 65221775.
2. What are the Factors of 8075?
Answer: Factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075. There are 12 integers that are factors of 8075. The greatest factor of 8075 is 8075.
3. 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.
4. How to Find the LCM of 8075 and 8077?
Answer:
Least Common Multiple of 8075 and 8077 = 65221775
Step 1: Find the prime factorization of 8075
8075 = 5 x 5 x 17 x 19
Step 2: Find the prime factorization of 8077
8077 = 41 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65221775 = 5 x 5 x 17 x 19 x 41 x 197
Step 4: Therefore, the least common multiple of 8075 and 8077 is 65221775.