The wattage limitations are usually due to heat production. These fixtures are designed to handle only a limited amount of heat. Since LED systems use significantly less power, they generate less heat. Using a 60W equivalent LED lamp in a fixture designed for a 60W bulb is fine. Similarly, you can use a 100W equivalent bulb if you want. Even these only consume 13W or so which will generate much less heat than a single 60W bulb.

Also, look carefully at the fixture. Some come with LED strips rather than removable bulbs.

Dan