Least Common Multiple of 6555 and 6559
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6555 and 6559 the smallest integer that is 42994245 that is divisible by both numbers.
Least Common Multiple (LCM) of 6555 and 6559 is 42994245.
LCM(6555,6559) = 42994245
LCM of 6555 and 6559
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6555 and 6559 by Prime method
- Least Common Multiple of 6555 and 6559 with GCF Formula
LCM of 6555 and 6559 is 42994245
Least common multiple can be found by multiplying the highest exponent prime factors of 6555 and 6559. First we will calculate the prime factors of 6555 and 6559.
Prime Factorization of 6555
| 3 | 6555 |
| 5 | 2185 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 6555 are 3, 5, 19,23. Prime factorization of 6555 in exponential form is:
6555 = 31×51×191×231
Prime Factorization of 6559
| 7 | 6559 |
| 937 | 937 |
| 1 |
Prime factors of 6559 are 7,937. Prime factorization of 6559 in exponential form is:
6559 = 71×9371
Now multiplying the highest exponent prime factors to calculate the LCM of 6555 and 6559.
LCM(6555,6559) = 31×51×71×191×231×9371
LCM(6555,6559) = 42994245
Factors of 6555
List of positive integer factors of 6555 that divides 6555 without a remainder.
1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555
Factors of 6559
List of positive integer factors of 6559 that divides 6559 without a remainder.
1, 7, 937, 6559
Least Common Multiple of 6555 and 6559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6555 and 6559, than apply into the LCM equation.
GCF(6555,6559) = 1
LCM(6555,6559) = ( 6555 × 6559) / 1
LCM(6555,6559) = 42994245 / 1
LCM(6555,6559) = 42994245
Properties of LCM 6555 and 6559
(i) The LCM of 6559 and 6555 is associative
LCM of 6555 and 6559 = LCM of 6559 and 6555
Related Least Common Multiples of 6555
Related Least Common Multiples of 6559
Frequently Asked Questions on LCM of 6555 and 6559
1. What is the LCM of 6555 and 6559?
Answer: LCM of 6555 and 6559 is 42994245.
2. What are the Factors of 6555?
Answer: Factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555. There are 16 integers that are factors of 6555. The greatest factor of 6555 is 6555.
3. What are the Factors of 6559?
Answer: Factors of 6559 are 1, 7, 937, 6559. There are 4 integers that are factors of 6559. The greatest factor of 6559 is 6559.
4. How to Find the LCM of 6555 and 6559?
Answer:
Least Common Multiple of 6555 and 6559 = 42994245
Step 1: Find the prime factorization of 6555
6555 = 3 x 5 x 19 x 23
Step 2: Find the prime factorization of 6559
6559 = 7 x 937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42994245 = 3 x 5 x 7 x 19 x 23 x 937
Step 4: Therefore, the least common multiple of 6555 and 6559 is 42994245.