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01/31/2012 03:56 am ET | Updated Mar 31, 2012

Jennifer Lopez Laughs About Her Pending Divorce On 'Late Show With David Letterman' (VIDEO)

Jennifer Lopez and Marc Anthony may be getting divorced, but at least it appears to be proceeding amicably. While the divorce is still being finalized, the two are working together on a project for Univision, which just scored 2.2 million viewers in its premiere. On "Late Show" (Weeknights, 11:35 p.m. EST on CBS), the "American Idol" judge laughed with David Letterman as he poked and prodded at the fresh remains of their marriage.

"I want to know if they're the same things for you that they would be for anybody," he said when she indicated there were just some things that didn't work in the marriage. As for working with him on their show, "Q'Viva! The Chosen," she said it's been great. They collaborate well, but again those communications issues do crop up.

"It's just like you're talking and you don't agree on something and then you're like, 'Oh be quiet!'" Lopez said as explanation for what led to the divorce. It almost sounded playful, as she laughed about it.

But Letterman wouldn't let it go, insisting it was she that said, "Be quiet." "I didn't say anything!" she exclaimed. So he rephrased his question.

"Marc would say 'be quiet' to you?" he asked.

"No," was the quick response, followed by more laughter. If only divorce was this fun for everybody.

Jennifer Lopez can be seen on "American Idol," Wednesdays and Thursdays at 8 p.m. EST on Fox. "Late Show with David Letterman" airs weeknights at 11:35 p.m. EST on CBS.

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