Language models
A very large model trained on huge amounts of text to predict the next word, which lets it write, sum up and answer in fluent language.
Formal
A deep learning model, usually a transformer with billions of weights, trained on vast text collections to predict the next token; the same skill, repeated, lets it produce long answers to a prompt.
In plain English
Like the next-word suggestions on a phone keyboard, but trained on a large part of the internet - it knows how answers usually sound, not whether they are true.
In practice
Staff in a municipality get a chat assistant built on an LLM to draft replies to citizens and sum up meeting notes, and the IT department must decide which data they may paste into it.
Why it matters
LLMs sound confident even when wrong, can be steered by hidden text, and send your input to whoever runs them - all real risks to weigh before use.