Some propagations

Many species of succulents can be propagated using their leaves because if a leaf detaches from the stem, it will form a plantlet and roots at the base of the leaf because there is meristem tissue at this point where the leaf joins the stem and usually, only leaves that have been detached carefully from the stem will do so but there are exceptions: gasterias are capable of forming new plants from fragments of leaves and aloes cannot be propagated by from leaves at all.

I think that this is a sedum hybrid of some kind, I have no idea what the mother plant of these leaves looked like, they were in the bottom of a clay pot that I got about 2 months ago

The flowers closely resemble sedums and all my other sedums are flowering now although it's also interesting to see that the plantlets don't resemble the leaves that they grew from. Depending on growing conditions, the same succulents can look very different. It's also very unusual for such a small plant that's only about 2 months old to start flowering. I'm not complaining, though.

These beauties are Pachyphytum compactum and they were also grown from leaves more than two years ago.

They are flowering for the first time and like other non-native succulents, the flowers are quickly attacked by aphids, brought there by their diligent farmer friends, the ants. This is partly my fault, because spring is hot and dry and I haven't been watering the succulents much, although they need it. Water stress always makes plants vulnerable to pests

Another way to propagate succulents is via flower stalks:

If the flower stalk gets detached from the parent plant before the flowers are fully formed and it can be rooted, it may flower but it may also form plantlets along the stem. If you look at the picture above, this echeveria hybrid has formed three plantlets at various points along the stem. I have a couple of plants in my garden that I propagated in this way