Least Common Multiple of 6643 and 6651
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 6651 the smallest integer that is 44182593 that is divisible by both numbers.
Least Common Multiple (LCM) of 6643 and 6651 is 44182593.
LCM(6643,6651) = 44182593
LCM of 6643 and 6651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6643 and 6651 by Prime method
- Least Common Multiple of 6643 and 6651 with GCF Formula
LCM of 6643 and 6651 is 44182593
Least common multiple can be found by multiplying the highest exponent prime factors of 6643 and 6651. First we will calculate the prime factors of 6643 and 6651.
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 6651
| 3 | 6651 |
| 3 | 2217 |
| 739 | 739 |
| 1 |
Prime factors of 6651 are 3,739. Prime factorization of 6651 in exponential form is:
6651 = 32×7391
Now multiplying the highest exponent prime factors to calculate the LCM of 6643 and 6651.
LCM(6643,6651) = 32×71×131×731×7391
LCM(6643,6651) = 44182593
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 6651
List of positive integer factors of 6651 that divides 6651 without a remainder.
1, 3, 9, 739, 2217, 6651
Least Common Multiple of 6643 and 6651 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 6651, than apply into the LCM equation.
GCF(6643,6651) = 1
LCM(6643,6651) = ( 6643 × 6651) / 1
LCM(6643,6651) = 44182593 / 1
LCM(6643,6651) = 44182593
Properties of LCM 6643 and 6651
(i) The LCM of 6651 and 6643 is associative
LCM of 6643 and 6651 = LCM of 6651 and 6643
Related Least Common Multiples of 6643
Related Least Common Multiples of 6651
Frequently Asked Questions on LCM of 6643 and 6651
1. What is the LCM of 6643 and 6651?
Answer: LCM of 6643 and 6651 is 44182593.
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 6651?
Answer: Factors of 6651 are 1, 3, 9, 739, 2217, 6651. There are 6 integers that are factors of 6651. The greatest factor of 6651 is 6651.
4. How to Find the LCM of 6643 and 6651?
Answer:
Least Common Multiple of 6643 and 6651 = 44182593
Step 1: Find the prime factorization of 6643
6643 = 7 x 13 x 73
Step 2: Find the prime factorization of 6651
6651 = 3 x 3 x 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44182593 = 3 x 3 x 7 x 13 x 73 x 739
Step 4: Therefore, the least common multiple of 6643 and 6651 is 44182593.