Least Common Multiple of 3065 and 3071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3065 and 3071 the smallest integer that is 9412615 that is divisible by both numbers.
Least Common Multiple (LCM) of 3065 and 3071 is 9412615.
LCM(3065,3071) = 9412615
LCM of 3065 and 3071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3065 and 3071 by Prime method
- Least Common Multiple of 3065 and 3071 with GCF Formula
LCM of 3065 and 3071 is 9412615
Least common multiple can be found by multiplying the highest exponent prime factors of 3065 and 3071. First we will calculate the prime factors of 3065 and 3071.
Prime Factorization of 3065
| 5 | 3065 |
| 613 | 613 |
| 1 |
Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:
3065 = 51×6131
Prime Factorization of 3071
| 37 | 3071 |
| 83 | 83 |
| 1 |
Prime factors of 3071 are 37,83. Prime factorization of 3071 in exponential form is:
3071 = 371×831
Now multiplying the highest exponent prime factors to calculate the LCM of 3065 and 3071.
LCM(3065,3071) = 51×371×831×6131
LCM(3065,3071) = 9412615
Factors of 3065
List of positive integer factors of 3065 that divides 3065 without a remainder.
1, 5, 613, 3065
Factors of 3071
List of positive integer factors of 3071 that divides 3071 without a remainder.
1, 37, 83, 3071
Least Common Multiple of 3065 and 3071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3065 and 3071, than apply into the LCM equation.
GCF(3065,3071) = 1
LCM(3065,3071) = ( 3065 × 3071) / 1
LCM(3065,3071) = 9412615 / 1
LCM(3065,3071) = 9412615
Properties of LCM 3065 and 3071
(i) The LCM of 3071 and 3065 is associative
LCM of 3065 and 3071 = LCM of 3071 and 3065
Related Least Common Multiples of 3065
Related Least Common Multiples of 3071
Frequently Asked Questions on LCM of 3065 and 3071
1. What is the LCM of 3065 and 3071?
Answer: LCM of 3065 and 3071 is 9412615.
2. What are the Factors of 3065?
Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.
3. What are the Factors of 3071?
Answer: Factors of 3071 are 1, 37, 83, 3071. There are 4 integers that are factors of 3071. The greatest factor of 3071 is 3071.
4. How to Find the LCM of 3065 and 3071?
Answer:
Least Common Multiple of 3065 and 3071 = 9412615
Step 1: Find the prime factorization of 3065
3065 = 5 x 613
Step 2: Find the prime factorization of 3071
3071 = 37 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9412615 = 5 x 37 x 83 x 613
Step 4: Therefore, the least common multiple of 3065 and 3071 is 9412615.