Export a VM with the snapshots?

To copy an entire VM with its snapshots and everything, the only way I know of is by copying the entire folder of the VM. Zipping the folder with 7z will reduce the disk-space to transfer.

If required, the VM with its snapshots can be cloned under another name by:

[right-click] VM -> Clone... -> [button] Next -> [radio button] Full clone -> [radio button] Everything -> [button] Clone

See the article Moving A VirtualBox VM With Snapshots for a detailed write-up.