Least Common Multiple of 8067 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 8067 and 8075 the smallest integer that is 65141025 that is divisible by both numbers.
Least Common Multiple (LCM) of 8067 and 8075 is 65141025.
LCM(8067,8075) = 65141025
LCM of 8067 and 8075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8067 and 8075 by Prime method
- Least Common Multiple of 8067 and 8075 with GCF Formula
LCM of 8067 and 8075 is 65141025
Least common multiple can be found by multiplying the highest exponent prime factors of 8067 and 8075. First we will calculate the prime factors of 8067 and 8075.
Prime Factorization of 8067
| 3 | 8067 |
| 2689 | 2689 |
| 1 |
Prime factors of 8067 are 3,2689. Prime factorization of 8067 in exponential form is:
8067 = 31×26891
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 8067 and 8075.
LCM(8067,8075) = 31×52×171×191×26891
LCM(8067,8075) = 65141025
Factors of 8067
List of positive integer factors of 8067 that divides 8067 without a remainder.
1, 3, 2689, 8067
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 8067 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 8067 and 8075, than apply into the LCM equation.
GCF(8067,8075) = 1
LCM(8067,8075) = ( 8067 × 8075) / 1
LCM(8067,8075) = 65141025 / 1
LCM(8067,8075) = 65141025
Properties of LCM 8067 and 8075
(i) The LCM of 8075 and 8067 is associative
LCM of 8067 and 8075 = LCM of 8075 and 8067
Related Least Common Multiples of 8067
Related Least Common Multiples of 8075
Frequently Asked Questions on LCM of 8067 and 8075
1. What is the LCM of 8067 and 8075?
Answer: LCM of 8067 and 8075 is 65141025.
2. What are the Factors of 8067?
Answer: Factors of 8067 are 1, 3, 2689, 8067. There are 4 integers that are factors of 8067. The greatest factor of 8067 is 8067.
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 8067 and 8075?
Answer:
Least Common Multiple of 8067 and 8075 = 65141025
Step 1: Find the prime factorization of 8067
8067 = 3 x 2689
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 = 65141025 = 3 x 5 x 5 x 17 x 19 x 2689
Step 4: Therefore, the least common multiple of 8067 and 8075 is 65141025.