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 6550 the smallest integer that is 42856650 that is divisible by both numbers.
Least Common Multiple (LCM) of 6543 and 6550 is 42856650.
LCM(6543,6550) = 42856650
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 6550. First we will calculate the prime factors of 6543 and 6550.
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 6550
2 | 6550 |
5 | 3275 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 6550 are 2, 5,131. Prime factorization of 6550 in exponential form is:
6550 = 21×52×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 6543 and 6550.
LCM(6543,6550) = 21×32×52×1311×7271
LCM(6543,6550) = 42856650
Factors of 6543
List of positive integer factors of 6543 that divides 6543 without a remainder.
1, 3, 9, 727, 2181, 6543
Factors of 6550
List of positive integer factors of 6550 that divides 6550 without a remainder.
1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6543 and 6550, than apply into the LCM equation.
GCF(6543,6550) = 1
LCM(6543,6550) = ( 6543 × 6550) / 1
LCM(6543,6550) = 42856650 / 1
LCM(6543,6550) = 42856650
(i) The LCM of 6550 and 6543 is associative
LCM of 6543 and 6550 = LCM of 6550 and 6543
1. What is the LCM of 6543 and 6550?
Answer: LCM of 6543 and 6550 is 42856650.
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 6550?
Answer: Factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550. There are 12 integers that are factors of 6550. The greatest factor of 6550 is 6550.
4. How to Find the LCM of 6543 and 6550?
Answer:
Least Common Multiple of 6543 and 6550 = 42856650
Step 1: Find the prime factorization of 6543
6543 = 3 x 3 x 727
Step 2: Find the prime factorization of 6550
6550 = 2 x 5 x 5 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42856650 = 2 x 3 x 3 x 5 x 5 x 131 x 727
Step 4: Therefore, the least common multiple of 6543 and 6550 is 42856650.