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 6566 the smallest integer that is 21529914 that is divisible by both numbers.
Least Common Multiple (LCM) of 6558 and 6566 is 21529914.
LCM(6558,6566) = 21529914
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 6566. First we will calculate the prime factors of 6558 and 6566.
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 6566
2 | 6566 |
7 | 3283 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 6566 are 2, 7,67. Prime factorization of 6566 in exponential form is:
6566 = 21×72×671
Now multiplying the highest exponent prime factors to calculate the LCM of 6558 and 6566.
LCM(6558,6566) = 21×31×72×671×10931
LCM(6558,6566) = 21529914
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 6566
List of positive integer factors of 6566 that divides 6566 without a remainder.
1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6558 and 6566, than apply into the LCM equation.
GCF(6558,6566) = 2
LCM(6558,6566) = ( 6558 × 6566) / 2
LCM(6558,6566) = 43059828 / 2
LCM(6558,6566) = 21529914
(i) The LCM of 6566 and 6558 is associative
LCM of 6558 and 6566 = LCM of 6566 and 6558
1. What is the LCM of 6558 and 6566?
Answer: LCM of 6558 and 6566 is 21529914.
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 6566?
Answer: Factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566. There are 12 integers that are factors of 6566. The greatest factor of 6566 is 6566.
4. How to Find the LCM of 6558 and 6566?
Answer:
Least Common Multiple of 6558 and 6566 = 21529914
Step 1: Find the prime factorization of 6558
6558 = 2 x 3 x 1093
Step 2: Find the prime factorization of 6566
6566 = 2 x 7 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21529914 = 2 x 3 x 7 x 7 x 67 x 1093
Step 4: Therefore, the least common multiple of 6558 and 6566 is 21529914.