Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6047 and 6055 the smallest integer that is 36614585 that is divisible by both numbers.
Least Common Multiple (LCM) of 6047 and 6055 is 36614585.
LCM(6047,6055) = 36614585
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6047 and 6055. First we will calculate the prime factors of 6047 and 6055.
Prime Factorization of 6047
6047 | 6047 |
1 |
Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:
6047 = 60471
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 6047 and 6055.
LCM(6047,6055) = 51×71×1731×60471
LCM(6047,6055) = 36614585
Factors of 6047
List of positive integer factors of 6047 that divides 6047 without a remainder.
1, 6047
Factors of 6055
List of positive integer factors of 6055 that divides 6055 without a remainder.
1, 5, 7, 35, 173, 865, 1211, 6055
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6047 and 6055, than apply into the LCM equation.
GCF(6047,6055) = 1
LCM(6047,6055) = ( 6047 × 6055) / 1
LCM(6047,6055) = 36614585 / 1
LCM(6047,6055) = 36614585
(i) The LCM of 6055 and 6047 is associative
LCM of 6047 and 6055 = LCM of 6055 and 6047
1. What is the LCM of 6047 and 6055?
Answer: LCM of 6047 and 6055 is 36614585.
2. What are the Factors of 6047?
Answer: Factors of 6047 are 1, 6047. There are 2 integers that are factors of 6047. The greatest factor of 6047 is 6047.
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 6047 and 6055?
Answer:
Least Common Multiple of 6047 and 6055 = 36614585
Step 1: Find the prime factorization of 6047
6047 = 6047
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 = 36614585 = 5 x 7 x 173 x 6047
Step 4: Therefore, the least common multiple of 6047 and 6055 is 36614585.