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 6561 the smallest integer that is 43020477 that is divisible by both numbers.
Least Common Multiple (LCM) of 6557 and 6561 is 43020477.
LCM(6557,6561) = 43020477
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 6561. First we will calculate the prime factors of 6557 and 6561.
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 6561
3 | 6561 |
3 | 2187 |
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 6561 are 3. Prime factorization of 6561 in exponential form is:
6561 = 38
Now multiplying the highest exponent prime factors to calculate the LCM of 6557 and 6561.
LCM(6557,6561) = 38×791×831
LCM(6557,6561) = 43020477
Factors of 6557
List of positive integer factors of 6557 that divides 6557 without a remainder.
1, 79, 83, 6557
Factors of 6561
List of positive integer factors of 6561 that divides 6561 without a remainder.
1, 3, 9, 27, 81, 243, 729, 2187, 6561
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6557 and 6561, than apply into the LCM equation.
GCF(6557,6561) = 1
LCM(6557,6561) = ( 6557 × 6561) / 1
LCM(6557,6561) = 43020477 / 1
LCM(6557,6561) = 43020477
(i) The LCM of 6561 and 6557 is associative
LCM of 6557 and 6561 = LCM of 6561 and 6557
1. What is the LCM of 6557 and 6561?
Answer: LCM of 6557 and 6561 is 43020477.
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 6561?
Answer: Factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561. There are 9 integers that are factors of 6561. The greatest factor of 6561 is 6561.
4. How to Find the LCM of 6557 and 6561?
Answer:
Least Common Multiple of 6557 and 6561 = 43020477
Step 1: Find the prime factorization of 6557
6557 = 79 x 83
Step 2: Find the prime factorization of 6561
6561 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43020477 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 79 x 83
Step 4: Therefore, the least common multiple of 6557 and 6561 is 43020477.