Least Common Multiple of 6051 and 6055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6051 and 6055 the smallest integer that is 36638805 that is divisible by both numbers.
Least Common Multiple (LCM) of 6051 and 6055 is 36638805.
LCM(6051,6055) = 36638805
LCM of 6051 and 6055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6051 and 6055 by Prime method
- Least Common Multiple of 6051 and 6055 with GCF Formula
LCM of 6051 and 6055 is 36638805
Least common multiple can be found by multiplying the highest exponent prime factors of 6051 and 6055. First we will calculate the prime factors of 6051 and 6055.
Prime Factorization of 6051
| 3 | 6051 |
| 2017 | 2017 |
| 1 |
Prime factors of 6051 are 3,2017. Prime factorization of 6051 in exponential form is:
6051 = 31×20171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6051 and 6055.
LCM(6051,6055) = 31×51×71×1731×20171
LCM(6051,6055) = 36638805
Factors of 6051
List of positive integer factors of 6051 that divides 6051 without a remainder.
1, 3, 2017, 6051
Factors of 6055
List of positive integer factors of 6055 that divides 6055 without a remainder.
1, 5, 7, 35, 173, 865, 1211, 6055
Least Common Multiple of 6051 and 6055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6051 and 6055, than apply into the LCM equation.
GCF(6051,6055) = 1
LCM(6051,6055) = ( 6051 × 6055) / 1
LCM(6051,6055) = 36638805 / 1
LCM(6051,6055) = 36638805
Properties of LCM 6051 and 6055
(i) The LCM of 6055 and 6051 is associative
LCM of 6051 and 6055 = LCM of 6055 and 6051
Related Least Common Multiples of 6051
Related Least Common Multiples of 6055
Frequently Asked Questions on LCM of 6051 and 6055
1. What is the LCM of 6051 and 6055?
Answer: LCM of 6051 and 6055 is 36638805.
2. What are the Factors of 6051?
Answer: Factors of 6051 are 1, 3, 2017, 6051. There are 4 integers that are factors of 6051. The greatest factor of 6051 is 6051.
3. 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.
4. How to Find the LCM of 6051 and 6055?
Answer:
Least Common Multiple of 6051 and 6055 = 36638805
Step 1: Find the prime factorization of 6051
6051 = 3 x 2017
Step 2: Find the prime factorization of 6055
6055 = 5 x 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36638805 = 3 x 5 x 7 x 173 x 2017
Step 4: Therefore, the least common multiple of 6051 and 6055 is 36638805.