GCD & LCM of 6 Integers: Exponential Form

[nicnicman]

Homework Statement

What is the greatest common divisor and least common multiple of the integers below (answer should be left in exponential form)?

$2^{3}, 3^{3}, 5^{1}, 11^{2}, 13^{3}$ and $2^{1}3^{3}5^{2}7^{4}13^{1}$

Homework Equations

The Attempt at a Solution

This is exactly the way the problem is written and it doesn't make sense to me. All the GCDs and LCMs we've had to find so far came from only two integers, but this one seems to have 6 maybe. I'm not really sure what I'm supposed to do with this. Any help?

 

[mighty2000]

Dear fellow scientist,

Thank you for bringing this question to our attention. It seems that the problem statement may be missing some information or may be incorrect. As you mentioned, finding the GCD and LCM requires at least two integers, but the given list includes six.

Without any additional information, it is not possible to accurately answer the question. However, assuming that the list is meant to be separated into two groups of three integers each, we can find the GCD and LCM for each group separately.

For the first group, the GCD is 1 and the LCM is 2^3 * 3^3 * 5 * 11^2 * 13^3.

For the second group, the GCD is 1 and the LCM is 2 * 3^3 * 5^2 * 7^4 * 13.

I hope this helps. If you require further assistance, please provide us with more information or clarification on the problem statement.