Question: Home Depot/Lowes, etc., have boiled linseed oil at a much cheaper price than the local art store that I go to.

Are there any problem using boiled linseed oil from these home stores for oil painting applications, cleaning brushes etc?

Answer: 
The thing about the art store options is that they're being tested by the manufacturers for their impact on the longevity of the painting or color impact to the pigments, so I would divide my response into a couple of parts...

Brush Cleaning? Sure, presuming that you're doing additional cleaning after. If you're looking to just store the brushes in the oil, between sessions, I would be more hesitant.

Painting? I would pass on it. It may well be perfectly fine, depending on the brand, but as I noted, they're likely not testing for your use case. At the end of the day, if you're looking to make works that last, going too cheap comes with risk. However, all that goes out the window with student grade paint options. If you're already taking a skip on the longevity, then I don't think you're really risking anything here either.

Finally, you can always test it yourself. Just don't do it on anything you care about until you know.
Since you tagged this as oil-paint, I assume that is your intended use.

Actually, the BLO that is sold in art stores is the same stuff that is peddled in hardware stores, be they large or small.

So you can use the BLO from the gallon cans for anything that you might use the BLO purchased from anywhere else. 

**Edit:**

Note that not all linseed oil is "boiled linseed oil". BLO is not even actually boiled, but has additives that cause it to dry faster. Raw linseed oil is a slow drying product and may be refined. Stand oil is heated and is lighter in color. 

Most hardware stores carry only BLO. 

Raw linseed oil is harder to find except in specialty stores (e.g. art supply houses). Art stores are likely to carry multiple forms of linseed oil, but the one with the "Boiled linseed oil" label contains the same stuff as from the hardware stores.