Least Common Multiple of 6063 and 6071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6063 and 6071 the smallest integer that is 36808473 that is divisible by both numbers.
Least Common Multiple (LCM) of 6063 and 6071 is 36808473.
LCM(6063,6071) = 36808473
LCM of 6063 and 6071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6063 and 6071 by Prime method
- Least Common Multiple of 6063 and 6071 with GCF Formula
LCM of 6063 and 6071 is 36808473
Least common multiple can be found by multiplying the highest exponent prime factors of 6063 and 6071. First we will calculate the prime factors of 6063 and 6071.
Prime Factorization of 6063
| 3 | 6063 |
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 6063 are 3, 43,47. Prime factorization of 6063 in exponential form is:
6063 = 31×431×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6063 and 6071.
LCM(6063,6071) = 31×131×431×471×4671
LCM(6063,6071) = 36808473
Factors of 6063
List of positive integer factors of 6063 that divides 6063 without a remainder.
1, 3, 43, 47, 129, 141, 2021, 6063
Factors of 6071
List of positive integer factors of 6071 that divides 6071 without a remainder.
1, 13, 467, 6071
Least Common Multiple of 6063 and 6071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6063 and 6071, than apply into the LCM equation.
GCF(6063,6071) = 1
LCM(6063,6071) = ( 6063 × 6071) / 1
LCM(6063,6071) = 36808473 / 1
LCM(6063,6071) = 36808473
Properties of LCM 6063 and 6071
(i) The LCM of 6071 and 6063 is associative
LCM of 6063 and 6071 = LCM of 6071 and 6063
Related Least Common Multiples of 6063
Related Least Common Multiples of 6071
Frequently Asked Questions on LCM of 6063 and 6071
1. What is the LCM of 6063 and 6071?
Answer: LCM of 6063 and 6071 is 36808473.
2. What are the Factors of 6063?
Answer: Factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063. There are 8 integers that are factors of 6063. The greatest factor of 6063 is 6063.
3. 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.
4. How to Find the LCM of 6063 and 6071?
Answer:
Least Common Multiple of 6063 and 6071 = 36808473
Step 1: Find the prime factorization of 6063
6063 = 3 x 43 x 47
Step 2: Find the prime factorization of 6071
6071 = 13 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36808473 = 3 x 13 x 43 x 47 x 467
Step 4: Therefore, the least common multiple of 6063 and 6071 is 36808473.