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 6053 the smallest integer that is 36602491 that is divisible by both numbers.
Least Common Multiple (LCM) of 6047 and 6053 is 36602491.
LCM(6047,6053) = 36602491
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 6053. First we will calculate the prime factors of 6047 and 6053.
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 6053
6053 | 6053 |
1 |
Prime factors of 6053 are 6053. Prime factorization of 6053 in exponential form is:
6053 = 60531
Now multiplying the highest exponent prime factors to calculate the LCM of 6047 and 6053.
LCM(6047,6053) = 60471×60531
LCM(6047,6053) = 36602491
Factors of 6047
List of positive integer factors of 6047 that divides 6047 without a remainder.
1, 6047
Factors of 6053
List of positive integer factors of 6053 that divides 6053 without a remainder.
1, 6053
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6047 and 6053, than apply into the LCM equation.
GCF(6047,6053) = 1
LCM(6047,6053) = ( 6047 × 6053) / 1
LCM(6047,6053) = 36602491 / 1
LCM(6047,6053) = 36602491
(i) The LCM of 6053 and 6047 is associative
LCM of 6047 and 6053 = LCM of 6053 and 6047
1. What is the LCM of 6047 and 6053?
Answer: LCM of 6047 and 6053 is 36602491.
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 6053?
Answer: Factors of 6053 are 1, 6053. There are 2 integers that are factors of 6053. The greatest factor of 6053 is 6053.
4. How to Find the LCM of 6047 and 6053?
Answer:
Least Common Multiple of 6047 and 6053 = 36602491
Step 1: Find the prime factorization of 6047
6047 = 6047
Step 2: Find the prime factorization of 6053
6053 = 6053
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36602491 = 6047 x 6053
Step 4: Therefore, the least common multiple of 6047 and 6053 is 36602491.