Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6543 and 6549 the smallest integer that is 14283369 that is divisible by both numbers.
Least Common Multiple (LCM) of 6543 and 6549 is 14283369.
LCM(6543,6549) = 14283369
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 6543 and 6549. First we will calculate the prime factors of 6543 and 6549.
Prime Factorization of 6543
3 | 6543 |
3 | 2181 |
727 | 727 |
1 |
Prime factors of 6543 are 3,727. Prime factorization of 6543 in exponential form is:
6543 = 32×7271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6543 and 6549.
LCM(6543,6549) = 32×371×591×7271
LCM(6543,6549) = 14283369
Factors of 6543
List of positive integer factors of 6543 that divides 6543 without a remainder.
1, 3, 9, 727, 2181, 6543
Factors of 6549
List of positive integer factors of 6549 that divides 6549 without a remainder.
1, 3, 37, 59, 111, 177, 2183, 6549
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6543 and 6549, than apply into the LCM equation.
GCF(6543,6549) = 3
LCM(6543,6549) = ( 6543 × 6549) / 3
LCM(6543,6549) = 42850107 / 3
LCM(6543,6549) = 14283369
(i) The LCM of 6549 and 6543 is associative
LCM of 6543 and 6549 = LCM of 6549 and 6543
1. What is the LCM of 6543 and 6549?
Answer: LCM of 6543 and 6549 is 14283369.
2. What are the Factors of 6543?
Answer: Factors of 6543 are 1, 3, 9, 727, 2181, 6543. There are 6 integers that are factors of 6543. The greatest factor of 6543 is 6543.
3. 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.
4. How to Find the LCM of 6543 and 6549?
Answer:
Least Common Multiple of 6543 and 6549 = 14283369
Step 1: Find the prime factorization of 6543
6543 = 3 x 3 x 727
Step 2: Find the prime factorization of 6549
6549 = 3 x 37 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14283369 = 3 x 3 x 37 x 59 x 727
Step 4: Therefore, the least common multiple of 6543 and 6549 is 14283369.