If you use a directional light, and we make some assumptions, we can roughly calculate the shutter speed for the ISO and f stop in your comment.

As a sanity check, here is the calculation for my test setup. It is a stop off, so some of the assumptions aren't correct. This is only a ballpark calculation anyway.

More comments on my test setup. A typical household interior has an EV of 5-7. With one 8W LED spotlight at 18 inches away, and a white reflector on the other side, I measured about EV 9 (based on my test exposure). You can get more powerful spotlights or you could use several. A distance of 18 inches is a little close, you probably want to be further away to get more even lighting. So, I am going to use EV 9 for the remainder of the calculations.

ISO   Aperture  Shutter
800   f8        1/60     With image stabilization, Handheld is OK 
400   f8        1/30     With image stabilization, handheld is marginal
400   f11       1/15     Need a tripod
100   f11       1/4      Need a tripod
200   f16       1/4      Need a tripod

You will need to decide if these are reasonable. See the Wikipedia article on Exposure Value for more information. With a larger or several lights, you should be able to get to EV 10 or 11.

I am assuming a simple setup, if you want a pure white background, you will want separate lights pointing at a white background.

Note that the Color Rendering Index (CRI) of household LEDs isn't very good. If color accuracy is important you should use something else.

I shoot a lot of flowers in my house. I use a speedlight and a small softbox on one side, and a white foamcore reflector on the other side (very close). If I want a dramatic image, I often put another speedlite in the back for a rimlight (need to be careful to shield the lens from this light). I use cheap Yongnuo RF flash triggers instead of sync cords.