I don't know if this will work for Verizon, but I used CF-Auto root to root. ( I am on Rogers SGH-I747M).
This is what I found on the internet.
1. Return your phone to 4.3 stock
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2. Re-root with Saferoot
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3. Install Safestrap and then you should be able to load CM into a Safestrap partition
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Then use Goo manager or Rom manager to install a custom recovery. Then find a ROM you like and flash away!