least vs minimum

least

noun
  • Something of the smallest possible extent; an indivisible unit. 

prep
  • At least. 

  • What a stupid white privileged POS I am! Least I call myself out. 

  • 2019 December, Justin Blackburn, The Bisexual Christian Suburban Failure Enlightening Bipolar Blues, page 79 

adv
  • Used for forming superlatives of adjectives, especially those that do not form the superlative by adding -est. 

  • In the smallest or lowest degree; in a degree below all others. 

det
  • The most little; the smallest amount or quantity of something. 

minimum

noun
  • The smallest amount. 

  • He always tries to get away with doing the minimum. 

  • The lowest limit. 

  • A period of minimum brightness or energy intensity (of a star). 

  • The smallest member of a batch or sample or the lower bound of a probability distribution. 

  • A lower bound of a set which is also an element of that set. 

adj
  • To the lowest degree. 

How often have the words least and minimum occurred in a corpus of books? (source: Google Ngram Viewer )