Least Common Multiple of 6055 and 6063
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6055 and 6063 the smallest integer that is 36711465 that is divisible by both numbers.
Least Common Multiple (LCM) of 6055 and 6063 is 36711465.
LCM(6055,6063) = 36711465
LCM of 6055 and 6063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6055 and 6063 by Prime method
- Least Common Multiple of 6055 and 6063 with GCF Formula
LCM of 6055 and 6063 is 36711465
Least common multiple can be found by multiplying the highest exponent prime factors of 6055 and 6063. First we will calculate the prime factors of 6055 and 6063.
Prime Factorization of 6055
| 5 | 6055 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 6055 are 5, 7,173. Prime factorization of 6055 in exponential form is:
6055 = 51×71×1731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6055 and 6063.
LCM(6055,6063) = 31×51×71×431×471×1731
LCM(6055,6063) = 36711465
Factors of 6055
List of positive integer factors of 6055 that divides 6055 without a remainder.
1, 5, 7, 35, 173, 865, 1211, 6055
Factors of 6063
List of positive integer factors of 6063 that divides 6063 without a remainder.
1, 3, 43, 47, 129, 141, 2021, 6063
Least Common Multiple of 6055 and 6063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6055 and 6063, than apply into the LCM equation.
GCF(6055,6063) = 1
LCM(6055,6063) = ( 6055 × 6063) / 1
LCM(6055,6063) = 36711465 / 1
LCM(6055,6063) = 36711465
Properties of LCM 6055 and 6063
(i) The LCM of 6063 and 6055 is associative
LCM of 6055 and 6063 = LCM of 6063 and 6055
Related Least Common Multiples of 6055
Related Least Common Multiples of 6063
Frequently Asked Questions on LCM of 6055 and 6063
1. What is the LCM of 6055 and 6063?
Answer: LCM of 6055 and 6063 is 36711465.
2. What are the Factors of 6055?
Answer: Factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055. There are 8 integers that are factors of 6055. The greatest factor of 6055 is 6055.
3. 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.
4. How to Find the LCM of 6055 and 6063?
Answer:
Least Common Multiple of 6055 and 6063 = 36711465
Step 1: Find the prime factorization of 6055
6055 = 5 x 7 x 173
Step 2: Find the prime factorization of 6063
6063 = 3 x 43 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36711465 = 3 x 5 x 7 x 43 x 47 x 173
Step 4: Therefore, the least common multiple of 6055 and 6063 is 36711465.