Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6578 and 6586 the smallest integer that is 21661354 that is divisible by both numbers.
Least Common Multiple (LCM) of 6578 and 6586 is 21661354.
LCM(6578,6586) = 21661354
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 6578 and 6586. First we will calculate the prime factors of 6578 and 6586.
Prime Factorization of 6578
2 | 6578 |
11 | 3289 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 6578 are 2, 11, 13,23. Prime factorization of 6578 in exponential form is:
6578 = 21×111×131×231
Prime Factorization of 6586
2 | 6586 |
37 | 3293 |
89 | 89 |
1 |
Prime factors of 6586 are 2, 37,89. Prime factorization of 6586 in exponential form is:
6586 = 21×371×891
Now multiplying the highest exponent prime factors to calculate the LCM of 6578 and 6586.
LCM(6578,6586) = 21×111×131×231×371×891
LCM(6578,6586) = 21661354
Factors of 6578
List of positive integer factors of 6578 that divides 6578 without a remainder.
1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
Factors of 6586
List of positive integer factors of 6586 that divides 6586 without a remainder.
1, 2, 37, 74, 89, 178, 3293, 6586
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6578 and 6586, than apply into the LCM equation.
GCF(6578,6586) = 2
LCM(6578,6586) = ( 6578 × 6586) / 2
LCM(6578,6586) = 43322708 / 2
LCM(6578,6586) = 21661354
(i) The LCM of 6586 and 6578 is associative
LCM of 6578 and 6586 = LCM of 6586 and 6578
1. What is the LCM of 6578 and 6586?
Answer: LCM of 6578 and 6586 is 21661354.
2. What are the Factors of 6578?
Answer: Factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578. There are 16 integers that are factors of 6578. The greatest factor of 6578 is 6578.
3. What are the Factors of 6586?
Answer: Factors of 6586 are 1, 2, 37, 74, 89, 178, 3293, 6586. There are 8 integers that are factors of 6586. The greatest factor of 6586 is 6586.
4. How to Find the LCM of 6578 and 6586?
Answer:
Least Common Multiple of 6578 and 6586 = 21661354
Step 1: Find the prime factorization of 6578
6578 = 2 x 11 x 13 x 23
Step 2: Find the prime factorization of 6586
6586 = 2 x 37 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21661354 = 2 x 11 x 13 x 23 x 37 x 89
Step 4: Therefore, the least common multiple of 6578 and 6586 is 21661354.