The Lodge handle holder (silicone) with the article number L-ASHH1 has the following dimensions:
- Length: 14.3 cm
- Width: 5.1 cm
- Depth: 1.5 cm

These dimensions are generally suitable for the handles of traditional cast iron pans and other cooking utensils. Here are some details that might help answer your question:

- The handle holder is designed to fit directly onto the handles of cast iron pans and similar cookware, which means it will likely fit Le Creuset cast iron pans.
- For De Buyer Carbon Steel pans it depends on the specific handle dimensions, but generally the handles of these pans should fit into the handle holder as the dimensions are generally customisable.

However, it is advisable to check the specific handle dimensions of your Le Creuset and De Buyer pans to ensure that the handle holder will fit.