Least Common Multiple of 6555 and 6562
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 6562 the smallest integer that is 43013910 that is divisible by both numbers.
Least Common Multiple (LCM) of 6555 and 6562 is 43013910.
LCM(6555,6562) = 43013910
LCM of 6555 and 6562
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6555 and 6562 by Prime method
- Least Common Multiple of 6555 and 6562 with GCF Formula
LCM of 6555 and 6562 is 43013910
Least common multiple can be found by multiplying the highest exponent prime factors of 6555 and 6562. First we will calculate the prime factors of 6555 and 6562.
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 6562
| 2 | 6562 |
| 17 | 3281 |
| 193 | 193 |
| 1 |
Prime factors of 6562 are 2, 17,193. Prime factorization of 6562 in exponential form is:
6562 = 21×171×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 6555 and 6562.
LCM(6555,6562) = 21×31×51×171×191×231×1931
LCM(6555,6562) = 43013910
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 6562
List of positive integer factors of 6562 that divides 6562 without a remainder.
1, 2, 17, 34, 193, 386, 3281, 6562
Least Common Multiple of 6555 and 6562 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 6562, than apply into the LCM equation.
GCF(6555,6562) = 1
LCM(6555,6562) = ( 6555 × 6562) / 1
LCM(6555,6562) = 43013910 / 1
LCM(6555,6562) = 43013910
Properties of LCM 6555 and 6562
(i) The LCM of 6562 and 6555 is associative
LCM of 6555 and 6562 = LCM of 6562 and 6555
Related Least Common Multiples of 6555
Related Least Common Multiples of 6562
Frequently Asked Questions on LCM of 6555 and 6562
1. What is the LCM of 6555 and 6562?
Answer: LCM of 6555 and 6562 is 43013910.
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 6562?
Answer: Factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562. There are 8 integers that are factors of 6562. The greatest factor of 6562 is 6562.
4. How to Find the LCM of 6555 and 6562?
Answer:
Least Common Multiple of 6555 and 6562 = 43013910
Step 1: Find the prime factorization of 6555
6555 = 3 x 5 x 19 x 23
Step 2: Find the prime factorization of 6562
6562 = 2 x 17 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43013910 = 2 x 3 x 5 x 17 x 19 x 23 x 193
Step 4: Therefore, the least common multiple of 6555 and 6562 is 43013910.