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This may help where Brian Greene demonstrated a toy ligo on the late show
You may want to contrast what he demonstrates and search "What happens when two laser beams intersect each other"
If you are lazy the two laser beams will pass through each other, with no cancellation or amplification even if the same frequency unless they are related in a special way and lets help and give you the word coherence.
(https://en.wikipedia.org/wiki/Interferometric_visibility) => The interferometric visibility (also known as "interference visibility" or "fringe visibility" or just "visibility") quantifies the contrast of interference in any system which has wave-like properties, such as optics, quantum mechanics, water waves, or electrical signals.