Least Common Multiple of 6063 and 6068
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 6068 the smallest integer that is 36790284 that is divisible by both numbers.
Least Common Multiple (LCM) of 6063 and 6068 is 36790284.
LCM(6063,6068) = 36790284
LCM of 6063 and 6068
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6063 and 6068 by Prime method
- Least Common Multiple of 6063 and 6068 with GCF Formula
LCM of 6063 and 6068 is 36790284
Least common multiple can be found by multiplying the highest exponent prime factors of 6063 and 6068. First we will calculate the prime factors of 6063 and 6068.
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 6068
| 2 | 6068 |
| 2 | 3034 |
| 37 | 1517 |
| 41 | 41 |
| 1 |
Prime factors of 6068 are 2, 37,41. Prime factorization of 6068 in exponential form is:
6068 = 22×371×411
Now multiplying the highest exponent prime factors to calculate the LCM of 6063 and 6068.
LCM(6063,6068) = 22×31×371×411×431×471
LCM(6063,6068) = 36790284
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 6068
List of positive integer factors of 6068 that divides 6068 without a remainder.
1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068
Least Common Multiple of 6063 and 6068 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 6068, than apply into the LCM equation.
GCF(6063,6068) = 1
LCM(6063,6068) = ( 6063 × 6068) / 1
LCM(6063,6068) = 36790284 / 1
LCM(6063,6068) = 36790284
Properties of LCM 6063 and 6068
(i) The LCM of 6068 and 6063 is associative
LCM of 6063 and 6068 = LCM of 6068 and 6063
Related Least Common Multiples of 6063
Related Least Common Multiples of 6068
Frequently Asked Questions on LCM of 6063 and 6068
1. What is the LCM of 6063 and 6068?
Answer: LCM of 6063 and 6068 is 36790284.
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 6068?
Answer: Factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068. There are 12 integers that are factors of 6068. The greatest factor of 6068 is 6068.
4. How to Find the LCM of 6063 and 6068?
Answer:
Least Common Multiple of 6063 and 6068 = 36790284
Step 1: Find the prime factorization of 6063
6063 = 3 x 43 x 47
Step 2: Find the prime factorization of 6068
6068 = 2 x 2 x 37 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36790284 = 2 x 2 x 3 x 37 x 41 x 43 x 47
Step 4: Therefore, the least common multiple of 6063 and 6068 is 36790284.