Least Common Multiple of 6063 and 6067
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 6067 the smallest integer that is 36784221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6063 and 6067 is 36784221.
LCM(6063,6067) = 36784221
LCM of 6063 and 6067
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6063 and 6067 by Prime method
- Least Common Multiple of 6063 and 6067 with GCF Formula
LCM of 6063 and 6067 is 36784221
Least common multiple can be found by multiplying the highest exponent prime factors of 6063 and 6067. First we will calculate the prime factors of 6063 and 6067.
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 6067
| 6067 | 6067 |
| 1 |
Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:
6067 = 60671
Now multiplying the highest exponent prime factors to calculate the LCM of 6063 and 6067.
LCM(6063,6067) = 31×431×471×60671
LCM(6063,6067) = 36784221
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 6067
List of positive integer factors of 6067 that divides 6067 without a remainder.
1, 6067
Least Common Multiple of 6063 and 6067 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 6067, than apply into the LCM equation.
GCF(6063,6067) = 1
LCM(6063,6067) = ( 6063 × 6067) / 1
LCM(6063,6067) = 36784221 / 1
LCM(6063,6067) = 36784221
Properties of LCM 6063 and 6067
(i) The LCM of 6067 and 6063 is associative
LCM of 6063 and 6067 = LCM of 6067 and 6063
Related Least Common Multiples of 6063
Related Least Common Multiples of 6067
Frequently Asked Questions on LCM of 6063 and 6067
1. What is the LCM of 6063 and 6067?
Answer: LCM of 6063 and 6067 is 36784221.
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 6067?
Answer: Factors of 6067 are 1, 6067. There are 2 integers that are factors of 6067. The greatest factor of 6067 is 6067.
4. How to Find the LCM of 6063 and 6067?
Answer:
Least Common Multiple of 6063 and 6067 = 36784221
Step 1: Find the prime factorization of 6063
6063 = 3 x 43 x 47
Step 2: Find the prime factorization of 6067
6067 = 6067
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36784221 = 3 x 43 x 47 x 6067
Step 4: Therefore, the least common multiple of 6063 and 6067 is 36784221.