General:
* Loudly - emphasizes the volume of the laughter.
* Heartily - emphasizes the joy and enthusiasm of the laughter.
* Merrily - emphasizes the lighthearted and cheerful nature of the laughter.
Specific:
* Hysterically - emphasizes uncontrollable, almost frantic laughter.
* Awkwardly - emphasizes a nervous or uncomfortable laugh.
* Contagiously - emphasizes laughter that spreads to others.
* Sardonicly - emphasizes a cynical or mocking laugh.
* Wryly - emphasizes a dry, humorous, or ironic laugh.
Example:
* "They laughed loudly at the silly joke."
* "She laughed heartily at the funny story."
* "The children laughed merrily as they played."
The best choice for your specific situation will depend on the context and the emotion you want to convey.