Imagine you have a box of toys that you like to play with. Some of the toys are made of materials that don't like each other very much, and they try to stay away from each other whenever they can.
The same thing happens with some liquids. Some liquids don't like to mix together, and they try to stay separate. This is because they have different behaviors when it comes to energy. Some like to have a lot of energy, and some prefer to have less.
When we talk about the lower critical solution temperature, we are talking about a temperature where two liquids that don't like each other suddenly start to mix together. This happens because they reach a certain temperature where their behavior changes, and they become more willing to mix.
For example, imagine you have a glass of water and a glass of oil. These two liquids don't mix very well because they have different behaviors when it comes to energy. However, if you heat up the mixture, there will be a temperature where the oil suddenly starts to mix with the water.
This temperature is called the lower critical solution temperature, and it happens because the oil and water start to behave more similarly when they are heated. They become more willing to mix together, and they overcome their natural tendency to separate.
So, to summarize, the lower critical solution temperature is the temperature at which two liquids that don't like each other suddenly start to mix together because they become more willing to do so. It's like when two kids who don't usually play together suddenly decide to become friends because they find something they both like.