I haven't tried it with laurel, but this technique works for many vigorously growing shrubs in the UK.
Cut stems that are about 8 to 12 inches long (20-30cm) and just push half their depth in the ground. You don't need to remove the leaves or do any other special preparation.
You have left it too late for this year. The ideal time to take cuttings this way is in about September, before the plants are dormant for the winter. The idea is that they start to produce roots while the soil temperature is still warm enough before they go dormant for the winter, and then restart growth in spring.
If you try now they may dry out and die before they produce any roots. But it's a quick and easy job, so you don't have much to lose by trying.
Another quick and easy method is to put a bunch of stems in a bottle of water (e.g. a 2 liter plastic bottle with the top cut off to make a wider opening.) Remove any leaves that will be below the water line. Put the bottle on a cool window sill. Top up the water level about once a week and change the water if you get a lot of green algae. When the roots are big enough not to be easily damaged, plant them outside. Some shrubs may take two or three months to produce roots this way, so don't be too quick to decide you have failed.