Least Common Multiple of 8060 and 8065
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8060 and 8065 the smallest integer that is 13000780 that is divisible by both numbers.
Least Common Multiple (LCM) of 8060 and 8065 is 13000780.
LCM(8060,8065) = 13000780
LCM of 8060 and 8065
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8060 and 8065 by Prime method
- Least Common Multiple of 8060 and 8065 with GCF Formula
LCM of 8060 and 8065 is 13000780
Least common multiple can be found by multiplying the highest exponent prime factors of 8060 and 8065. First we will calculate the prime factors of 8060 and 8065.
Prime Factorization of 8060
| 2 | 8060 |
| 2 | 4030 |
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 8060 are 2, 5, 13,31. Prime factorization of 8060 in exponential form is:
8060 = 22×51×131×311
Prime Factorization of 8065
| 5 | 8065 |
| 1613 | 1613 |
| 1 |
Prime factors of 8065 are 5,1613. Prime factorization of 8065 in exponential form is:
8065 = 51×16131
Now multiplying the highest exponent prime factors to calculate the LCM of 8060 and 8065.
LCM(8060,8065) = 22×51×131×311×16131
LCM(8060,8065) = 13000780
Factors of 8060
List of positive integer factors of 8060 that divides 8060 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
Factors of 8065
List of positive integer factors of 8065 that divides 8065 without a remainder.
1, 5, 1613, 8065
Least Common Multiple of 8060 and 8065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8060 and 8065, than apply into the LCM equation.
GCF(8060,8065) = 5
LCM(8060,8065) = ( 8060 × 8065) / 5
LCM(8060,8065) = 65003900 / 5
LCM(8060,8065) = 13000780
Properties of LCM 8060 and 8065
(i) The LCM of 8065 and 8060 is associative
LCM of 8060 and 8065 = LCM of 8065 and 8060
Related Least Common Multiples of 8060
Related Least Common Multiples of 8065
Frequently Asked Questions on LCM of 8060 and 8065
1. What is the LCM of 8060 and 8065?
Answer: LCM of 8060 and 8065 is 13000780.
2. What are the Factors of 8060?
Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.
3. What are the Factors of 8065?
Answer: Factors of 8065 are 1, 5, 1613, 8065. There are 4 integers that are factors of 8065. The greatest factor of 8065 is 8065.
4. How to Find the LCM of 8060 and 8065?
Answer:
Least Common Multiple of 8060 and 8065 = 13000780
Step 1: Find the prime factorization of 8060
8060 = 2 x 2 x 5 x 13 x 31
Step 2: Find the prime factorization of 8065
8065 = 5 x 1613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13000780 = 2 x 2 x 5 x 13 x 31 x 1613
Step 4: Therefore, the least common multiple of 8060 and 8065 is 13000780.