$23\times45\div23=45$ 
Definite @ as the operation of choosing the larger number between two numbers. Definite \&~as the operation of choosing the smaller number between two numbers. Find the result of $(37$\&$23)\times(25$@$45)\div(23$@$15)$. 

[A] $$23$$ 
[B] $$25$$ 
[C] $$45$$ 
[D] $$225$$ 
[E] $$100$$ 