Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6557 and 6563 the smallest integer that is 43033591 that is divisible by both numbers.
Least Common Multiple (LCM) of 6557 and 6563 is 43033591.
LCM(6557,6563) = 43033591
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 6557 and 6563. First we will calculate the prime factors of 6557 and 6563.
Prime Factorization of 6557
79 | 6557 |
83 | 83 |
1 |
Prime factors of 6557 are 79,83. Prime factorization of 6557 in exponential form is:
6557 = 791×831
Prime Factorization of 6563
6563 | 6563 |
1 |
Prime factors of 6563 are 6563. Prime factorization of 6563 in exponential form is:
6563 = 65631
Now multiplying the highest exponent prime factors to calculate the LCM of 6557 and 6563.
LCM(6557,6563) = 791×831×65631
LCM(6557,6563) = 43033591
Factors of 6557
List of positive integer factors of 6557 that divides 6557 without a remainder.
1, 79, 83, 6557
Factors of 6563
List of positive integer factors of 6563 that divides 6563 without a remainder.
1, 6563
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6557 and 6563, than apply into the LCM equation.
GCF(6557,6563) = 1
LCM(6557,6563) = ( 6557 × 6563) / 1
LCM(6557,6563) = 43033591 / 1
LCM(6557,6563) = 43033591
(i) The LCM of 6563 and 6557 is associative
LCM of 6557 and 6563 = LCM of 6563 and 6557
1. What is the LCM of 6557 and 6563?
Answer: LCM of 6557 and 6563 is 43033591.
2. What are the Factors of 6557?
Answer: Factors of 6557 are 1, 79, 83, 6557. There are 4 integers that are factors of 6557. The greatest factor of 6557 is 6557.
3. What are the Factors of 6563?
Answer: Factors of 6563 are 1, 6563. There are 2 integers that are factors of 6563. The greatest factor of 6563 is 6563.
4. How to Find the LCM of 6557 and 6563?
Answer:
Least Common Multiple of 6557 and 6563 = 43033591
Step 1: Find the prime factorization of 6557
6557 = 79 x 83
Step 2: Find the prime factorization of 6563
6563 = 6563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43033591 = 79 x 83 x 6563
Step 4: Therefore, the least common multiple of 6557 and 6563 is 43033591.