Washington (CNN) Sen. Lindsey Graham says Donald Trump is a "complete idiot" and if the two face off in the Republican primary in Graham's home state of South Carolina, "I'll beat his brains out."

Graham, the South Carolina senator, attacked Trump in a Tuesday morning interview on CNN.

Trump had taunted Graham earlier in the day, highlighting a poll of South Carolina GOP primary voters that showed the real estate mogul leading the pack with 30% support and Graham much further back at 4%.

"Congrats," Trump sarcastically tweeted at Graham, noting that those four percentage points are "far better than zero nationally."

Graham chalked Trump's lead up to a "dark side of politics that Mr. Trump is appealing to." He said Trump is channeling the same Republican primary voters who believe President Barack Obama is a Muslim and was born in Kenya.

"Come to South Carolina and I'll beat his brains out," Graham said. "I know my state. This is a silly season in politics."

Photos: Who's running for president? Photos: Who's running for president? Ted Cruz, Donald Trump, John Kasich, Hillary Clinton and Bernie Sanders, Hide Caption 1 of 6 Photos: Who's running for president?



"So, ladies and gentlemen, I am officially running for president of the United States, and we are going to make our country great again," Trump told the crowd at his announcement. Businessman Donald Trump announced June 16 at his Trump Tower in New York City that he is seeking the Republican presidential nomination. This ends more than two decades of flirting with the idea of running for the White House."So, ladies and gentlemen, I am officially running for president of the United States, and we are going to make our country great again," Trump told the crowd at his announcement. Hide Caption 2 of 6 Photos: Who's running for president?



"These are all of our stories," Cruz told the audience at Liberty University in Virginia. "These are who we are as Americans. And yet for so many Americans, the promise of America seems more and more distant." Sen. Ted Cruz of Texas has made a name for himself in the Senate, solidifying his brand as a conservative firebrand willing to take on the GOP's establishment. He announced he was seeking the Republican presidential nomination in a speech on March 23."These are all of our stories," Cruz told the audience at Liberty University in Virginia. "These are who we are as Americans. And yet for so many Americans, the promise of America seems more and more distant." Hide Caption 3 of 6 Photos: Who's running for president? Ohio Gov. John Kasich joined the Republican field July 21 as he formally announced his White House bid.



"I am here to ask you for your prayers, for your support ... because I have decided to run for president of the United States," Kasich told his kickoff rally at the Ohio State University. Hide Caption 4 of 6 Photos: Who's running for president?



"Everyday Americans need a champion, and I want to be that champion -- so you can do more than just get by -- you can get ahead. And stay ahead," she said in her announcement video. "Because when families are strong, America is strong. So I'm hitting the road to earn your vote, because it's your time. And I hope you'll join me on this journey." Hillary Clinton launched her presidential bid on April 12 through a video message on social media. The former first lady, senator and secretary of state is considered the front-runner among possible Democratic candidates."Everyday Americans need a champion, and I want to be that champion -- so you can do more than just get by -- you can get ahead. And stay ahead," she said in her announcement video. "Because when families are strong, America is strong. So I'm hitting the road to earn your vote, because it's your time. And I hope you'll join me on this journey." Hide Caption 5 of 6 Photos: Who's running for president?



"This great nation and its government belong to all of the people and not to a handful of billionaires, their super PACs and their lobbyists," Sanders said at a rally in Vermont on May 26. Sen. Bernie Sanders , an independent from Vermont who caucuses with Democrats, announced his run in an email to supporters on April 30. He has said the United States needs a "political revolution" of working-class Americans to take back control of the government from billionaires."This great nation and its government belong to all of the people and not to a handful of billionaires, their super PACs and their lobbyists," Sanders said at a rally in Vermont on May 26. Hide Caption 6 of 6

Graham launched the harshest attack yet of any of Trump's Republican opponents, calling him a "showman" whose "policy positions are complete gibberish."

"He is shallow, he is ill-prepared to be commander-in-chief, he doesn't know what he is talking about in terms of how our laws work, he says the worst things possible about immigrants and women, and he's a complete idiot when it comes to Mideast policy," Graham said. "So I think over time, common sense will prevail."