There’s no built in method to do that. You can use the expression:

(date1 > date2 ? date1 : date2)

to find the maximum of the two.

You can write a generic method to calculate Min or Max for any type (provided that Comparer<T>.Default is set appropriately):

public static T Max<T>(T first, T second) {
    if (Comparer<T>.Default.Compare(first, second) > 0)
        return first;
    return second;

You can use LINQ too:

new[]{date1, date2, date3}.Max()