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It was believed a number of teams were considering offering Kaman a maximum contract next summer if he became a free agent.
"We are absolutely thrilled to ensure that Chris will be here and staying with the Clippers for a long time to come," general manager Elgin Baylor told the Associated Press. "He is one of the best young big men in the league and we feel that he will just continue to get better."
The deal also clears the way for the Clippers to begin talks in earnest with coach Mike Dunleavy, who wanted to be certain the team would commit to re-signing its core before agreeing to a long-term extension.
Kaman averaged 11.9 points and ranked ninth in rebounds at 9.6 per game last season.
Ric Bucher is a senior writer for ESPN The Magazine. Information from the Associated Press was used in this report.