KD, no vo2 max to put it simply is the maximum capacity to transport and utilize oxygen while also being known as "aerobic capacity" which may reflect the physcial fitness of the person. So, some percentages that are roughly used among athletes are as follows:
3k pace: 100% vo2max
5k pace: 95% vo2max
10k pace: 90% vo2max
Half-Marathon: 80% vo2max
Now on the other hand, Lactate threshold is simply the running speed above which large amounts of lactate begin to accumulate in the blood. I believe that you don't want to actually run at your given "lactate threshold" but rather just above it, for the reason that when you run faster than LT you switch from focusing on aerobic development of the Fast twitch fibers and increasing threshold -- to developing buffers for the build up of acid. For one to achieve this, I would suggest something around 10mile pace, to 10k pace as being sufficient for LT. Everyone is different, though once you get the idea for pace, you should then not worry so much about actual pace, but run by feel ( Where you get the sensation of a comfortable/hard run)
So to answer your question without readin all my jargon. v02max isnt always a "training" term/workout, but a percentage. For this case, Lactate threshold is somewhere around 88-90% vo2max.