Least Common Multiple of 6643 and 6649
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 6649 the smallest integer that is 44169307 that is divisible by both numbers.
Least Common Multiple (LCM) of 6643 and 6649 is 44169307.
LCM(6643,6649) = 44169307
LCM of 6643 and 6649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6643 and 6649 by Prime method
- Least Common Multiple of 6643 and 6649 with GCF Formula
LCM of 6643 and 6649 is 44169307
Least common multiple can be found by multiplying the highest exponent prime factors of 6643 and 6649. First we will calculate the prime factors of 6643 and 6649.
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 6649
| 61 | 6649 |
| 109 | 109 |
| 1 |
Prime factors of 6649 are 61,109. Prime factorization of 6649 in exponential form is:
6649 = 611×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 6643 and 6649.
LCM(6643,6649) = 71×131×611×731×1091
LCM(6643,6649) = 44169307
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 6649
List of positive integer factors of 6649 that divides 6649 without a remainder.
1, 61, 109, 6649
Least Common Multiple of 6643 and 6649 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 6649, than apply into the LCM equation.
GCF(6643,6649) = 1
LCM(6643,6649) = ( 6643 × 6649) / 1
LCM(6643,6649) = 44169307 / 1
LCM(6643,6649) = 44169307
Properties of LCM 6643 and 6649
(i) The LCM of 6649 and 6643 is associative
LCM of 6643 and 6649 = LCM of 6649 and 6643
Related Least Common Multiples of 6643
Related Least Common Multiples of 6649
Frequently Asked Questions on LCM of 6643 and 6649
1. What is the LCM of 6643 and 6649?
Answer: LCM of 6643 and 6649 is 44169307.
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 6649?
Answer: Factors of 6649 are 1, 61, 109, 6649. There are 4 integers that are factors of 6649. The greatest factor of 6649 is 6649.
4. How to Find the LCM of 6643 and 6649?
Answer:
Least Common Multiple of 6643 and 6649 = 44169307
Step 1: Find the prime factorization of 6643
6643 = 7 x 13 x 73
Step 2: Find the prime factorization of 6649
6649 = 61 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44169307 = 7 x 13 x 61 x 73 x 109
Step 4: Therefore, the least common multiple of 6643 and 6649 is 44169307.