Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6554 and 6559 the smallest integer that is 42987686 that is divisible by both numbers.
Least Common Multiple (LCM) of 6554 and 6559 is 42987686.
LCM(6554,6559) = 42987686
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 6554 and 6559. First we will calculate the prime factors of 6554 and 6559.
Prime Factorization of 6554
2 | 6554 |
29 | 3277 |
113 | 113 |
1 |
Prime factors of 6554 are 2, 29,113. Prime factorization of 6554 in exponential form is:
6554 = 21×291×1131
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 6554 and 6559.
LCM(6554,6559) = 21×71×291×1131×9371
LCM(6554,6559) = 42987686
Factors of 6554
List of positive integer factors of 6554 that divides 6554 without a remainder.
1, 2, 29, 58, 113, 226, 3277, 6554
Factors of 6559
List of positive integer factors of 6559 that divides 6559 without a remainder.
1, 7, 937, 6559
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6554 and 6559, than apply into the LCM equation.
GCF(6554,6559) = 1
LCM(6554,6559) = ( 6554 × 6559) / 1
LCM(6554,6559) = 42987686 / 1
LCM(6554,6559) = 42987686
(i) The LCM of 6559 and 6554 is associative
LCM of 6554 and 6559 = LCM of 6559 and 6554
1. What is the LCM of 6554 and 6559?
Answer: LCM of 6554 and 6559 is 42987686.
2. What are the Factors of 6554?
Answer: Factors of 6554 are 1, 2, 29, 58, 113, 226, 3277, 6554. There are 8 integers that are factors of 6554. The greatest factor of 6554 is 6554.
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 6554 and 6559?
Answer:
Least Common Multiple of 6554 and 6559 = 42987686
Step 1: Find the prime factorization of 6554
6554 = 2 x 29 x 113
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 = 42987686 = 2 x 7 x 29 x 113 x 937
Step 4: Therefore, the least common multiple of 6554 and 6559 is 42987686.