In the United Kingdom it is usually referred to as the lotto. We all just have different ways of saying the lottery and the lotto. However, they are the same thing.
In the United States there are many different forms of the lottery such as the Powerball, Mega Millions, Win For Life, and others. These are the most popular. There is also THABET the Tri-State lottery, Paycheck lottery, Hot Lotto, Wild Card, 2by2, and almost one lottery game for every state.
There are also certain lotteries for some particular states such as the Delaware lottery, the New Jersey lottery, the South Dakota lottery, and more. In fact you can find lottery games in just about anything in the United States. The Fish and Game department has a lottery. Some other states have their own lotteries as well: Arizona, California, Colorado, Connecticut, District of Columbia, Florida, Georgia, Idaho, Illinois, Indiana, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Minnesota, Missouri, Montana, Nebraska, New Hampshire, New Mexico, New York, North Carolina, North Dakota, Ohio, Oklahoma, Oregon, Pennsylvania, Puerto Rico, Rhode Island, South Carolina, Tennessee, Texas, Vermont, Virginia, Washington, West Virginia, and Wisconsin.
That covers nearly every state in the United States!
Other countries that have the lottery (but often call it the lotto) are England, Ireland, Spain, Canada, the United Kingdom, Mexico, Brazil, and more.