It's ok. But more commonly we say eg Try to get it for as little as possible.
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GPYI wonder whether I am alone in questioning its absolute grammatical correctness.So far, yes, but there are sure to be more replies.
CalifJimI thought "number of" + countable and "amount of" + uncountable were fairly uncontroversial.I have no qualms about "amount of + uncountable". It's the "least amount of" aspect that sounds very slightly off to me. I can't exactly put my finger on why though.
GPYleast amount ofHmm. I think I see what you mean. "most amount of" has an awkwardness about it as well. "greatest amount of" sounds better to my ear, but I don't know what should be substituted for "least".
CalifJimbut I don't know what should be substituted for "least".Wouldn't it be "smallest amount of ..."?
GPYMy feeling is that "least number" is a special usage that does not transfer to most other nouns.Just to clarify this ... Here I was talking about "least number" in the accepted mathematical sense, not in the phrase "least number of" (e.g. "least number of cars/people/etc."), which I would consider dubious.
GPY CalifJimbut I don't know what should be substituted for "least".Wouldn't it be "smallest amount of ..."?Oh. Yes! What was I thinking?