Other forms: uncommonest; uncommoner
Anything uncommon is rare or unusual, like your uncommon last name, which all of your friends have trouble pronouncing.
When you add the prefix un- to common, "occurring or done often," you get its opposite, uncommon. The word's earliest meaning was "not possessed in common," or not owned by everyone, from another meaning of common, "shared by the community." These days, people almost always mean "exceptional" or "not likely" when they describe something as uncommon: "It's uncommon for people to win the lottery, so don't waste your money!"