Least Common Multiple of 6055 and 6062
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 6062 the smallest integer that is 5243630 that is divisible by both numbers.
Least Common Multiple (LCM) of 6055 and 6062 is 5243630.
LCM(6055,6062) = 5243630
LCM of 6055 and 6062
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6055 and 6062 by Prime method
- Least Common Multiple of 6055 and 6062 with GCF Formula
LCM of 6055 and 6062 is 5243630
Least common multiple can be found by multiplying the highest exponent prime factors of 6055 and 6062. First we will calculate the prime factors of 6055 and 6062.
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 6062
| 2 | 6062 |
| 7 | 3031 |
| 433 | 433 |
| 1 |
Prime factors of 6062 are 2, 7,433. Prime factorization of 6062 in exponential form is:
6062 = 21×71×4331
Now multiplying the highest exponent prime factors to calculate the LCM of 6055 and 6062.
LCM(6055,6062) = 21×51×71×1731×4331
LCM(6055,6062) = 5243630
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 6062
List of positive integer factors of 6062 that divides 6062 without a remainder.
1, 2, 7, 14, 433, 866, 3031, 6062
Least Common Multiple of 6055 and 6062 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 6062, than apply into the LCM equation.
GCF(6055,6062) = 7
LCM(6055,6062) = ( 6055 × 6062) / 7
LCM(6055,6062) = 36705410 / 7
LCM(6055,6062) = 5243630
Properties of LCM 6055 and 6062
(i) The LCM of 6062 and 6055 is associative
LCM of 6055 and 6062 = LCM of 6062 and 6055
Related Least Common Multiples of 6055
Related Least Common Multiples of 6062
Frequently Asked Questions on LCM of 6055 and 6062
1. What is the LCM of 6055 and 6062?
Answer: LCM of 6055 and 6062 is 5243630.
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 6062?
Answer: Factors of 6062 are 1, 2, 7, 14, 433, 866, 3031, 6062. There are 8 integers that are factors of 6062. The greatest factor of 6062 is 6062.
4. How to Find the LCM of 6055 and 6062?
Answer:
Least Common Multiple of 6055 and 6062 = 5243630
Step 1: Find the prime factorization of 6055
6055 = 5 x 7 x 173
Step 2: Find the prime factorization of 6062
6062 = 2 x 7 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5243630 = 2 x 5 x 7 x 173 x 433
Step 4: Therefore, the least common multiple of 6055 and 6062 is 5243630.