Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6549 and 6557 the smallest integer that is 42941793 that is divisible by both numbers.
Least Common Multiple (LCM) of 6549 and 6557 is 42941793.
LCM(6549,6557) = 42941793
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 6549 and 6557. First we will calculate the prime factors of 6549 and 6557.
Prime Factorization of 6549
3 | 6549 |
37 | 2183 |
59 | 59 |
1 |
Prime factors of 6549 are 3, 37,59. Prime factorization of 6549 in exponential form is:
6549 = 31×371×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6549 and 6557.
LCM(6549,6557) = 31×371×591×791×831
LCM(6549,6557) = 42941793
Factors of 6549
List of positive integer factors of 6549 that divides 6549 without a remainder.
1, 3, 37, 59, 111, 177, 2183, 6549
Factors of 6557
List of positive integer factors of 6557 that divides 6557 without a remainder.
1, 79, 83, 6557
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6549 and 6557, than apply into the LCM equation.
GCF(6549,6557) = 1
LCM(6549,6557) = ( 6549 × 6557) / 1
LCM(6549,6557) = 42941793 / 1
LCM(6549,6557) = 42941793
(i) The LCM of 6557 and 6549 is associative
LCM of 6549 and 6557 = LCM of 6557 and 6549
1. What is the LCM of 6549 and 6557?
Answer: LCM of 6549 and 6557 is 42941793.
2. What are the Factors of 6549?
Answer: Factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549. There are 8 integers that are factors of 6549. The greatest factor of 6549 is 6549.
3. 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.
4. How to Find the LCM of 6549 and 6557?
Answer:
Least Common Multiple of 6549 and 6557 = 42941793
Step 1: Find the prime factorization of 6549
6549 = 3 x 37 x 59
Step 2: Find the prime factorization of 6557
6557 = 79 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42941793 = 3 x 37 x 59 x 79 x 83
Step 4: Therefore, the least common multiple of 6549 and 6557 is 42941793.