Least Common Multiple of 6071 and 6075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6071 and 6075 the smallest integer that is 36881325 that is divisible by both numbers.
Least Common Multiple (LCM) of 6071 and 6075 is 36881325.
LCM(6071,6075) = 36881325
LCM of 6071 and 6075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6071 and 6075 by Prime method
- Least Common Multiple of 6071 and 6075 with GCF Formula
LCM of 6071 and 6075 is 36881325
Least common multiple can be found by multiplying the highest exponent prime factors of 6071 and 6075. First we will calculate the prime factors of 6071 and 6075.
Prime Factorization of 6071
| 13 | 6071 |
| 467 | 467 |
| 1 |
Prime factors of 6071 are 13,467. Prime factorization of 6071 in exponential form is:
6071 = 131×4671
Prime Factorization of 6075
| 3 | 6075 |
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 6075 are 3,5. Prime factorization of 6075 in exponential form is:
6075 = 35×52
Now multiplying the highest exponent prime factors to calculate the LCM of 6071 and 6075.
LCM(6071,6075) = 35×52×131×4671
LCM(6071,6075) = 36881325
Factors of 6071
List of positive integer factors of 6071 that divides 6071 without a remainder.
1, 13, 467, 6071
Factors of 6075
List of positive integer factors of 6075 that divides 6075 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
Least Common Multiple of 6071 and 6075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6071 and 6075, than apply into the LCM equation.
GCF(6071,6075) = 1
LCM(6071,6075) = ( 6071 × 6075) / 1
LCM(6071,6075) = 36881325 / 1
LCM(6071,6075) = 36881325
Properties of LCM 6071 and 6075
(i) The LCM of 6075 and 6071 is associative
LCM of 6071 and 6075 = LCM of 6075 and 6071
Related Least Common Multiples of 6071
Related Least Common Multiples of 6075
Frequently Asked Questions on LCM of 6071 and 6075
1. What is the LCM of 6071 and 6075?
Answer: LCM of 6071 and 6075 is 36881325.
2. What are the Factors of 6071?
Answer: Factors of 6071 are 1, 13, 467, 6071. There are 4 integers that are factors of 6071. The greatest factor of 6071 is 6071.
3. What are the Factors of 6075?
Answer: Factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075. There are 18 integers that are factors of 6075. The greatest factor of 6075 is 6075.
4. How to Find the LCM of 6071 and 6075?
Answer:
Least Common Multiple of 6071 and 6075 = 36881325
Step 1: Find the prime factorization of 6071
6071 = 13 x 467
Step 2: Find the prime factorization of 6075
6075 = 3 x 3 x 3 x 3 x 3 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36881325 = 3 x 3 x 3 x 3 x 3 x 5 x 5 x 13 x 467
Step 4: Therefore, the least common multiple of 6071 and 6075 is 36881325.