Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6539 and 6543 the smallest integer that is 42784677 that is divisible by both numbers.
Least Common Multiple (LCM) of 6539 and 6543 is 42784677.
LCM(6539,6543) = 42784677
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 6539 and 6543. First we will calculate the prime factors of 6539 and 6543.
Prime Factorization of 6539
13 | 6539 |
503 | 503 |
1 |
Prime factors of 6539 are 13,503. Prime factorization of 6539 in exponential form is:
6539 = 131×5031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6539 and 6543.
LCM(6539,6543) = 32×131×5031×7271
LCM(6539,6543) = 42784677
Factors of 6539
List of positive integer factors of 6539 that divides 6539 without a remainder.
1, 13, 503, 6539
Factors of 6543
List of positive integer factors of 6543 that divides 6543 without a remainder.
1, 3, 9, 727, 2181, 6543
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6539 and 6543, than apply into the LCM equation.
GCF(6539,6543) = 1
LCM(6539,6543) = ( 6539 × 6543) / 1
LCM(6539,6543) = 42784677 / 1
LCM(6539,6543) = 42784677
(i) The LCM of 6543 and 6539 is associative
LCM of 6539 and 6543 = LCM of 6543 and 6539
1. What is the LCM of 6539 and 6543?
Answer: LCM of 6539 and 6543 is 42784677.
2. What are the Factors of 6539?
Answer: Factors of 6539 are 1, 13, 503, 6539. There are 4 integers that are factors of 6539. The greatest factor of 6539 is 6539.
3. 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.
4. How to Find the LCM of 6539 and 6543?
Answer:
Least Common Multiple of 6539 and 6543 = 42784677
Step 1: Find the prime factorization of 6539
6539 = 13 x 503
Step 2: Find the prime factorization of 6543
6543 = 3 x 3 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42784677 = 3 x 3 x 13 x 503 x 727
Step 4: Therefore, the least common multiple of 6539 and 6543 is 42784677.