Bryant added 20 points and seven rebounds for the Lakers, who have won three in a row to begin the season for the first time since winning seven straight to commence the 2008-09 campaign. Lamar Odom chipped in 16 points and 14 rebounds.
"Other than our 20 turnovers, we weren't bad tonight. We got loose balls and some easy baskets," Lakers head coach Phil Jackson said.
Bryant, who underwent surgery on the knee for a third time this offseason, jokingly told the media: "Leave me the (heck) alone about my (expletive) knee."
In response, Jackson told the team's website, "I'm pleased with the progress of Kobe, it looks like his offense is coming along. Defensively he still is working on some things that he has to get done with his strength and base. He's not 100 percent but that's good of him to say it. Offensively he looks fine."
Memphis, which opens a four-game road trip tonight, is coming off a blowout win over Minnesota on Saturday. Mike Conley stuffed the stat sheet with 14 points, 11 assists, seven rebounds and seven of a franchise-record 22 steals, as the Grizzlies rolled to a 109-89 win.
O.J. Mayo had 29 points, while Rudy Gay chipped in 25 for the Grizzlies, who were coming off a one-point win at Dallas Friday. Conley tied his own franchise record for steals in a game and equaled a career-high in assists.
"I think it's effort," coach Lionel Hollins said. "It's getting back to what we do. We had some consistency with our effort."
The Grizzlies, who will also face Golden State, Phoenix and Sacramento on their trek, will be shooting for their first 3-1 start since the 2005-06 campaign, the last time the franchise made the postseason.
The Lakers have taken six of their past seven meetings with Memphis, which is winless in its last three as the guest in this series.
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