Least Common Multiple of 6643 and 6647
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 6647 the smallest integer that is 44156021 that is divisible by both numbers.
Least Common Multiple (LCM) of 6643 and 6647 is 44156021.
LCM(6643,6647) = 44156021
LCM of 6643 and 6647
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6643 and 6647 by Prime method
- Least Common Multiple of 6643 and 6647 with GCF Formula
LCM of 6643 and 6647 is 44156021
Least common multiple can be found by multiplying the highest exponent prime factors of 6643 and 6647. First we will calculate the prime factors of 6643 and 6647.
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 6647
| 17 | 6647 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 6647 are 17,23. Prime factorization of 6647 in exponential form is:
6647 = 172×231
Now multiplying the highest exponent prime factors to calculate the LCM of 6643 and 6647.
LCM(6643,6647) = 71×131×172×231×731
LCM(6643,6647) = 44156021
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 6647
List of positive integer factors of 6647 that divides 6647 without a remainder.
1, 17, 23, 289, 391, 6647
Least Common Multiple of 6643 and 6647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6643 and 6647, than apply into the LCM equation.
GCF(6643,6647) = 1
LCM(6643,6647) = ( 6643 × 6647) / 1
LCM(6643,6647) = 44156021 / 1
LCM(6643,6647) = 44156021
Properties of LCM 6643 and 6647
(i) The LCM of 6647 and 6643 is associative
LCM of 6643 and 6647 = LCM of 6647 and 6643
Related Least Common Multiples of 6643
Related Least Common Multiples of 6647
Frequently Asked Questions on LCM of 6643 and 6647
1. What is the LCM of 6643 and 6647?
Answer: LCM of 6643 and 6647 is 44156021.
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 6647?
Answer: Factors of 6647 are 1, 17, 23, 289, 391, 6647. There are 6 integers that are factors of 6647. The greatest factor of 6647 is 6647.
4. How to Find the LCM of 6643 and 6647?
Answer:
Least Common Multiple of 6643 and 6647 = 44156021
Step 1: Find the prime factorization of 6643
6643 = 7 x 13 x 73
Step 2: Find the prime factorization of 6647
6647 = 17 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44156021 = 7 x 13 x 17 x 17 x 23 x 73
Step 4: Therefore, the least common multiple of 6643 and 6647 is 44156021.