Then you prepare a part-year return for LA and pay LA tax on the income you received while you lived in LA.
https://ttlc.intuit.com/turbotax-support/en-us/help-article/printers-printing/file-part-year-state-r...
ALLOCATE PART YEAR
https://ttlc.intuit.com/turbotax-support/en-us/help-article/state-taxes/allocate-split-income-part-y...
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