Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6643 and 6650 the smallest integer that is 6310850 that is divisible by both numbers.
Least Common Multiple (LCM) of 6643 and 6650 is 6310850.
LCM(6643,6650) = 6310850
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 6643 and 6650. First we will calculate the prime factors of 6643 and 6650.
Prime Factorization of 6643
7 | 6643 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 6643 are 7, 13,73. Prime factorization of 6643 in exponential form is:
6643 = 71×131×731
Prime Factorization of 6650
2 | 6650 |
5 | 3325 |
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 6650 are 2, 5, 7,19. Prime factorization of 6650 in exponential form is:
6650 = 21×52×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 6643 and 6650.
LCM(6643,6650) = 21×52×71×131×191×731
LCM(6643,6650) = 6310850
Factors of 6643
List of positive integer factors of 6643 that divides 6643 without a remainder.
1, 7, 13, 73, 91, 511, 949, 6643
Factors of 6650
List of positive integer factors of 6650 that divides 6650 without a remainder.
1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6643 and 6650, than apply into the LCM equation.
GCF(6643,6650) = 7
LCM(6643,6650) = ( 6643 × 6650) / 7
LCM(6643,6650) = 44175950 / 7
LCM(6643,6650) = 6310850
(i) The LCM of 6650 and 6643 is associative
LCM of 6643 and 6650 = LCM of 6650 and 6643
1. What is the LCM of 6643 and 6650?
Answer: LCM of 6643 and 6650 is 6310850.
2. What are the Factors of 6643?
Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.
3. What are the Factors of 6650?
Answer: Factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650. There are 24 integers that are factors of 6650. The greatest factor of 6650 is 6650.
4. How to Find the LCM of 6643 and 6650?
Answer:
Least Common Multiple of 6643 and 6650 = 6310850
Step 1: Find the prime factorization of 6643
6643 = 7 x 13 x 73
Step 2: Find the prime factorization of 6650
6650 = 2 x 5 x 5 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6310850 = 2 x 5 x 5 x 7 x 13 x 19 x 73
Step 4: Therefore, the least common multiple of 6643 and 6650 is 6310850.