Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6558 and 6562 the smallest integer that is 21516798 that is divisible by both numbers.
Least Common Multiple (LCM) of 6558 and 6562 is 21516798.
LCM(6558,6562) = 21516798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6558 and 6562. First we will calculate the prime factors of 6558 and 6562.
Prime Factorization of 6558
2 | 6558 |
3 | 3279 |
1093 | 1093 |
1 |
Prime factors of 6558 are 2, 3,1093. Prime factorization of 6558 in exponential form is:
6558 = 21×31×10931
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 6558 and 6562.
LCM(6558,6562) = 21×31×171×1931×10931
LCM(6558,6562) = 21516798
Factors of 6558
List of positive integer factors of 6558 that divides 6558 without a remainder.
1, 2, 3, 6, 1093, 2186, 3279, 6558
Factors of 6562
List of positive integer factors of 6562 that divides 6562 without a remainder.
1, 2, 17, 34, 193, 386, 3281, 6562
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6558 and 6562, than apply into the LCM equation.
GCF(6558,6562) = 2
LCM(6558,6562) = ( 6558 × 6562) / 2
LCM(6558,6562) = 43033596 / 2
LCM(6558,6562) = 21516798
(i) The LCM of 6562 and 6558 is associative
LCM of 6558 and 6562 = LCM of 6562 and 6558
1. What is the LCM of 6558 and 6562?
Answer: LCM of 6558 and 6562 is 21516798.
2. What are the Factors of 6558?
Answer: Factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558. There are 8 integers that are factors of 6558. The greatest factor of 6558 is 6558.
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 6558 and 6562?
Answer:
Least Common Multiple of 6558 and 6562 = 21516798
Step 1: Find the prime factorization of 6558
6558 = 2 x 3 x 1093
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 = 21516798 = 2 x 3 x 17 x 193 x 1093
Step 4: Therefore, the least common multiple of 6558 and 6562 is 21516798.