Least Common Multiple of 6649 and 6655
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6649 and 6655 the smallest integer that is 44249095 that is divisible by both numbers.
Least Common Multiple (LCM) of 6649 and 6655 is 44249095.
LCM(6649,6655) = 44249095
LCM of 6649 and 6655
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6649 and 6655 by Prime method
- Least Common Multiple of 6649 and 6655 with GCF Formula
LCM of 6649 and 6655 is 44249095
Least common multiple can be found by multiplying the highest exponent prime factors of 6649 and 6655. First we will calculate the prime factors of 6649 and 6655.
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
Prime Factorization of 6655
| 5 | 6655 |
| 11 | 1331 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 6655 are 5,11. Prime factorization of 6655 in exponential form is:
6655 = 51×113
Now multiplying the highest exponent prime factors to calculate the LCM of 6649 and 6655.
LCM(6649,6655) = 51×113×611×1091
LCM(6649,6655) = 44249095
Factors of 6649
List of positive integer factors of 6649 that divides 6649 without a remainder.
1, 61, 109, 6649
Factors of 6655
List of positive integer factors of 6655 that divides 6655 without a remainder.
1, 5, 11, 55, 121, 605, 1331, 6655
Least Common Multiple of 6649 and 6655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6649 and 6655, than apply into the LCM equation.
GCF(6649,6655) = 1
LCM(6649,6655) = ( 6649 × 6655) / 1
LCM(6649,6655) = 44249095 / 1
LCM(6649,6655) = 44249095
Properties of LCM 6649 and 6655
(i) The LCM of 6655 and 6649 is associative
LCM of 6649 and 6655 = LCM of 6655 and 6649
Related Least Common Multiples of 6649
Related Least Common Multiples of 6655
Frequently Asked Questions on LCM of 6649 and 6655
1. What is the LCM of 6649 and 6655?
Answer: LCM of 6649 and 6655 is 44249095.
2. 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.
3. What are the Factors of 6655?
Answer: Factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655. There are 8 integers that are factors of 6655. The greatest factor of 6655 is 6655.
4. How to Find the LCM of 6649 and 6655?
Answer:
Least Common Multiple of 6649 and 6655 = 44249095
Step 1: Find the prime factorization of 6649
6649 = 61 x 109
Step 2: Find the prime factorization of 6655
6655 = 5 x 11 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44249095 = 5 x 11 x 11 x 11 x 61 x 109
Step 4: Therefore, the least common multiple of 6649 and 6655 is 44249095.