Least Common Multiple of 6555 and 6563
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 6563 the smallest integer that is 43020465 that is divisible by both numbers.
Least Common Multiple (LCM) of 6555 and 6563 is 43020465.
LCM(6555,6563) = 43020465
LCM of 6555 and 6563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6555 and 6563 by Prime method
- Least Common Multiple of 6555 and 6563 with GCF Formula
LCM of 6555 and 6563 is 43020465
Least common multiple can be found by multiplying the highest exponent prime factors of 6555 and 6563. First we will calculate the prime factors of 6555 and 6563.
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 6563
| 6563 | 6563 |
| 1 |
Prime factors of 6563 are 6563. Prime factorization of 6563 in exponential form is:
6563 = 65631
Now multiplying the highest exponent prime factors to calculate the LCM of 6555 and 6563.
LCM(6555,6563) = 31×51×191×231×65631
LCM(6555,6563) = 43020465
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 6563
List of positive integer factors of 6563 that divides 6563 without a remainder.
1, 6563
Least Common Multiple of 6555 and 6563 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 6563, than apply into the LCM equation.
GCF(6555,6563) = 1
LCM(6555,6563) = ( 6555 × 6563) / 1
LCM(6555,6563) = 43020465 / 1
LCM(6555,6563) = 43020465
Properties of LCM 6555 and 6563
(i) The LCM of 6563 and 6555 is associative
LCM of 6555 and 6563 = LCM of 6563 and 6555
Related Least Common Multiples of 6555
Related Least Common Multiples of 6563
Frequently Asked Questions on LCM of 6555 and 6563
1. What is the LCM of 6555 and 6563?
Answer: LCM of 6555 and 6563 is 43020465.
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 6563?
Answer: Factors of 6563 are 1, 6563. There are 2 integers that are factors of 6563. The greatest factor of 6563 is 6563.
4. How to Find the LCM of 6555 and 6563?
Answer:
Least Common Multiple of 6555 and 6563 = 43020465
Step 1: Find the prime factorization of 6555
6555 = 3 x 5 x 19 x 23
Step 2: Find the prime factorization of 6563
6563 = 6563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43020465 = 3 x 5 x 19 x 23 x 6563
Step 4: Therefore, the least common multiple of 6555 and 6563 is 43020465.