Local Secondary Indexes still rely on the original Hash Key.
When you supply a table with hash+range, think about the LSI as hash+range1, hash+range2.. hash+range6.
You get 5 more range attributes to query on.
Also, there is only one provisioned throughput.
Global Secondary Indexes defines a new paradigm - different hash/range keys per index.
This breaks the original usage of one hash key per table.
This is also why when defining GSI you are required to add a provisioned throughput per index and pay for it.
More detailed information about the differences can be found in the GSI announcement
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