For Trump, who remains well short of the 1,237 delegates he needs to clinch the GOP nod, that means his campaign focuses on developing a delegate-centered strategy akin to the one that rival Ted Cruz has pursued for months.
"A more traditional approach is needed, and Donald Trump recognizes that," Paul Manafort, Trump's new delegate chief, said Sunday on NBC's "Meet the Press."
For Clinton, who lost Wyoming on Saturday night to Bernie Sanders, it means maintaining her commanding leads among delegates and popular votes no matter how many states Sanders wins — or how much "momentum" he claims. Key to her drive is a win April 19 in New York, which she represented in the U.S. Senate.
Asked in a CNN interview that aired Sunday whether she's quietly preparing a strategy in the unlikely event of a contested Democratic convention, she replied, "No, I intend to have the number of delegates that are required to be nominated."
Clinton's campaign is pushing for big wins across the Northeast in an effort to gain what they've termed an "all but insurmountable" lead in the delegate race.
But with neither front-runner strong enough to claim inevitability, their challengers held on to the hope that by winning more races and cozying up to delegates, they stand a chance of eventually grabbing their respective party nominations.
For Ohio Gov. John Kasich, it's about winning enough delegates to keep all candidates from locking up the majority. And that means sowing doubts about the effect that a Trump or Cruz nomination would have on the party. He said there's "great concern" not just about how each would represent the GOP, but about the prospect of a blowout loss up and down the ticket in November.
"We would lose seats all the way from the statehouse to the courthouse" — meaning races all down the ballot, Kasich told CBS's "Face the Nation."
Sanders, behind Clinton by hundreds of delegates and more than 2.4 million votes, is pointing to statewide wins in seven of the past eight contests. But his latest victory in Wyoming did nothing to help him in the delegate chase: Both Sanders and Clinton got seven delegates.
On CBS, Sanders noted that the contest has moved into states like New York, Pennsylvania and California where he expects to do well.
"Our plan right now is to win this thing," Sanders said on "Face the Nation."
On the Republican side, Trump continued to try to catch up to Cruz's ground operation, which is months ahead and trying to eat into Trump's home state support in conservative pockets of New York. Manafort said the Cruz campaign was using a "scorched earth" approach in which "they don't care about the party. If they don't get what they want, they blow it up."
Clinton has 1,287 delegates based on primaries and caucuses, compared with Sanders' 1,037. When including superdelegates, or party officials who can back any candidate, Clinton has 1,756, or 74 percent of the number needed to clinch the nomination. Sanders has 1,068.
Trump still has a narrow path to nailing down the Republican nomination by June 7, but he has little room for error.
Following Cruz's sweep of Colorado's remaining delegates on Saturday, The Associated Press count stands at Trump 743, Cruz 545 and Kasich 143. Marco Rubio, who suspended his campaign, has 171 delegates. To clinch the nomination by the end of the primaries, a candidate needs 1,237 delegates.