In a similar way to どんなに～ても, いくら～でも is regularly translated to ‘no matter how (A), (B)’. However, unlike どんな (which is an abbreviation of どのような), いくら is a 名詞（めいし） that comes from the kanji 幾（いく）ら, meaning ‘how much’. When partnered with ても (with verbs and い-Adjectives), or でも (with nouns and な-Adjectives), the literal meaning means ‘however much (A), (B)’.
With いくら～でも, the (B) part of the phrase will usually highlight something that is being negated, giving the phrase it's ‘no matter how much’ nuance.

• あの人（ひと）にいくら言（い）っても、何（なに）も変（か）わらないよ。
  No matter how much you tell him, he won't change.
• いくら新（あたら）しくても落（お）としたら壊（こわ）れるに決（き）まってるじゃん。
  No matter how new it is, of course it is going to break if you drop it!
• あの人（ひと）のことがいくら嫌（きら）いでも、そんな事（こと）言（い）ったら可哀（かわい）そうだよ。
  No matter how much you dislike them, that is a hurtful thing to say.
• いくら俺（おれ）でもそんな重（おも）いものは持（も）てないよ。
  No matter if it is me, I can't lift something that heavy. (Even if it is me, who is strong, I cant lift something that heavy)

Despite this trend of being used in sentences that contain ない or ありません, いくら～でも may also be seen in positive sentences. In these cases, despite not being negative, the (B) phrase will still be something that is surprising/unexpected in some way (due to its extent or amount).

• 相談（そうだん）ならいくらでも聞（き）いてあげるよ。
  I'll listen to you vent however much you need.
• お菓子（かし）ならいくらでもあるから、好（す）きなだけ持（も）っていきな！
  As for snacks, I have plenty, so take all you want!