(CNSNews.com) - As expected, Sen. Hillary Clinton easily won the Kentucky primary Tuesday, with 65 percent of the vote to Sen. Barack Obama's 30 percent. But Obama defeated Clinton in Oregon, 58-42 percent.

Although Clinton insisted that she's staying in the race, she struck a "unity" theme in her post-primary speech to supporters. In the end, Democrats will come together she said:

"We will come together as a party, united by common values and common cause, united in service of the hopes and dreams that know no boundaries of race or creed, gender or geography. And when we do, there will be no stopping us," Clinton said in Louisville Tuesday night.

"We won't just unite our party. We will unite our country and make sure America's best years are still ahead of us."

Clinton also reached out to her rival in "one of the closest races for a party's nomination in modern history."

"I commend Senator Obama and his supporters," Clinton said Tuesday night. "And while we continue to go toe-to-toe for this nomination, we do see eye-to-eye when it comes to uniting our party to elect a Democratic president in the fall."

Obama, speaking Des Moines, Iowa, before the polls closed in Oregon, had conciliatory words for Sen. Clinton, calling her "one of the most formidable candidates" ever to run for president.

"In her 35 years of public service, Senator Hillary Rodham Clinton has never given up on her fight for the American people, and tonight I congratulate her on her victory in Kentucky," Obama said. "We have had our disagreements during this campaign, but we all admire her courage, her commitment and her perseverance. No matter how this primary ends, Senator Clinton has shattered myths and broken barriers and changed the America in which my daughters and yours will come of age."

Obama rejected suggestions that the Democrat Party is divided: He said the close primary race is proof that Democrats "have never been more energized and united in our desire to take this country in a new direction. More than anything, we need this unity and this energy in the months to come, because while our primary has been long and hard-fought, the hardest and most important part of our journey still lies ahead." He was referring to the race against Republican John McCain.

Sen. Clinton also stressed the importance of the general election: "Democrats must take back the White House and end Republican rule," she said.

But she insisted that she's the candidate who can win the all-important swing states, and she said she's now heading to Montana, South Dakota and Puerto Rico to campaign ahead of the nominating contests there.

"Neither Senator Obama nor I has won the 2,210 delegates required to secure the nomination. And because this race is so close, still separated by less than 200 delegates out of more than 4,400, neither Senator Obama nor I will have reached that magic number when the voting ends on June the 3\super rd\nosupersub ," she said.

And so -- our party will have a tough choice to make. Who's ready to lead our party at the top of our ticket?"