LACP system Priority is the combination of the LACP system priority value and the MAC address of the switch.
You can configure it using lacp system-priority priority_value
LACP uses the system priority with the switch MAC address to form the system ID and also during negotiation with other systems.
http://www.cisco.com/en/US/partner/docs/switches/lan/catalyst6500/ios/12.2SX/configuration/guide/channel.html#wp1033345
Each VLAN on each network device has a unique 64-bit bridge ID consisting of a bridge priority value, an extended system ID, and an STP MAC address allocation.
Configuring Bridge ID Priority
spanning-tree vlan vlan_id priority bridge_priority
http://www.cisco.com/en/US/partner/docs/switches/lan/catalyst6500/ios/12.2SX/configuration/guide/spantree.html#wp1096536
In short, both values are different.Both are used for different purpose.
Hope this helps.