Least Common Multiple of 8071 and 8075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8071 and 8075 the smallest integer that is 65173325 that is divisible by both numbers.
Least Common Multiple (LCM) of 8071 and 8075 is 65173325.
LCM(8071,8075) = 65173325
LCM of 8071 and 8075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8071 and 8075 by Prime method
- Least Common Multiple of 8071 and 8075 with GCF Formula
LCM of 8071 and 8075 is 65173325
Least common multiple can be found by multiplying the highest exponent prime factors of 8071 and 8075. First we will calculate the prime factors of 8071 and 8075.
Prime Factorization of 8071
| 7 | 8071 |
| 1153 | 1153 |
| 1 |
Prime factors of 8071 are 7,1153. Prime factorization of 8071 in exponential form is:
8071 = 71×11531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8071 and 8075.
LCM(8071,8075) = 52×71×171×191×11531
LCM(8071,8075) = 65173325
Factors of 8071
List of positive integer factors of 8071 that divides 8071 without a remainder.
1, 7, 1153, 8071
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
Least Common Multiple of 8071 and 8075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8071 and 8075, than apply into the LCM equation.
GCF(8071,8075) = 1
LCM(8071,8075) = ( 8071 × 8075) / 1
LCM(8071,8075) = 65173325 / 1
LCM(8071,8075) = 65173325
Properties of LCM 8071 and 8075
(i) The LCM of 8075 and 8071 is associative
LCM of 8071 and 8075 = LCM of 8075 and 8071
Related Least Common Multiples of 8071
Related Least Common Multiples of 8075
Frequently Asked Questions on LCM of 8071 and 8075
1. What is the LCM of 8071 and 8075?
Answer: LCM of 8071 and 8075 is 65173325.
2. What are the Factors of 8071?
Answer: Factors of 8071 are 1, 7, 1153, 8071. There are 4 integers that are factors of 8071. The greatest factor of 8071 is 8071.
3. 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.
4. How to Find the LCM of 8071 and 8075?
Answer:
Least Common Multiple of 8071 and 8075 = 65173325
Step 1: Find the prime factorization of 8071
8071 = 7 x 1153
Step 2: Find the prime factorization of 8075
8075 = 5 x 5 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65173325 = 5 x 5 x 7 x 17 x 19 x 1153
Step 4: Therefore, the least common multiple of 8071 and 8075 is 65173325.