Least Common Multiple of 6063 and 6065
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 6065 the smallest integer that is 36772095 that is divisible by both numbers.
Least Common Multiple (LCM) of 6063 and 6065 is 36772095.
LCM(6063,6065) = 36772095
LCM of 6063 and 6065
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6063 and 6065 by Prime method
- Least Common Multiple of 6063 and 6065 with GCF Formula
LCM of 6063 and 6065 is 36772095
Least common multiple can be found by multiplying the highest exponent prime factors of 6063 and 6065. First we will calculate the prime factors of 6063 and 6065.
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 6065
| 5 | 6065 |
| 1213 | 1213 |
| 1 |
Prime factors of 6065 are 5,1213. Prime factorization of 6065 in exponential form is:
6065 = 51×12131
Now multiplying the highest exponent prime factors to calculate the LCM of 6063 and 6065.
LCM(6063,6065) = 31×51×431×471×12131
LCM(6063,6065) = 36772095
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 6065
List of positive integer factors of 6065 that divides 6065 without a remainder.
1, 5, 1213, 6065
Least Common Multiple of 6063 and 6065 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 6065, than apply into the LCM equation.
GCF(6063,6065) = 1
LCM(6063,6065) = ( 6063 × 6065) / 1
LCM(6063,6065) = 36772095 / 1
LCM(6063,6065) = 36772095
Properties of LCM 6063 and 6065
(i) The LCM of 6065 and 6063 is associative
LCM of 6063 and 6065 = LCM of 6065 and 6063
Related Least Common Multiples of 6063
Related Least Common Multiples of 6065
Frequently Asked Questions on LCM of 6063 and 6065
1. What is the LCM of 6063 and 6065?
Answer: LCM of 6063 and 6065 is 36772095.
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 6065?
Answer: Factors of 6065 are 1, 5, 1213, 6065. There are 4 integers that are factors of 6065. The greatest factor of 6065 is 6065.
4. How to Find the LCM of 6063 and 6065?
Answer:
Least Common Multiple of 6063 and 6065 = 36772095
Step 1: Find the prime factorization of 6063
6063 = 3 x 43 x 47
Step 2: Find the prime factorization of 6065
6065 = 5 x 1213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36772095 = 3 x 5 x 43 x 47 x 1213
Step 4: Therefore, the least common multiple of 6063 and 6065 is 36772095.