The specified wavelength of Cisco's WS-G5486 1000BASE-LX/LH GBIC is 1300nm.
Yes, wavelength at both ends should be the same. As long as the Luminous GBIC is 1000BASE-LX the difference between 1300nm and 1310nm shouldn't matter.
It shouldn't be a problem, but just to be safe, check that the optical power output (maximum TX) of the Luminous GBIC is -3dB or less. The maximum power the Cisco LX/LH GBIC can send and receive is -3dB. I couldn't find any specs on the Luminous part.
It's the ones operating at 1550nm (Cisco's ZX GBIC, for example) that you have to worry about. They operate "hot" enough to require inline attenuation in many instances.
Hope this helps.