Multiply two columns of different dataframes in Python

I have two dataframes (both are datatype float). The first one is called Prices which contains only prices:

The second one is called Table_ScenarioPercentages which contains percentages where the prices need to be multiplied by:

So what I want to do is multiply the value of Period 20240201 (Prices) by Month 0 (Table_ScenarioPercentages), the value of Period 20240301 (Prices) by Month 1 (Table_ScenarioPercentages), etc.

I've tried:

Prices.iloc[:, 0]*Table_ScenarioPercentages.iloc[:, 0] 

but this just gives a lot of NaN's and the wrong format:

Does someone know how to do this in Python?