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Abstract Algebra

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Order of Group using Lagrange

ABSALG-WQEEYJ

Suppose $H$ and $K$ are subgroups of a finite group $G$.

If $|H|=h$ and $|K|=k$, what is the minimum possible order of $G$?

A

$h+k$

B

$hk$

C

$\textrm{gcd}(h,k)$

D

$\textrm{lcm}(h,k)$

E

None of the above.