It's 無くす, but it's often written in Hiragana なくす actually.
無くす is for one's personal effects such as 傘, wallet, smartphone, key, glasses.
無 itself means "nothing", so 無くす has like a "vanish" nuance.
It feels like things that once have existed disappeared in front of your sight.
失くす rather said/written 失う, is used for abstract things such as a position, title, approval rate, or important things other than one's personal effects that you can carry with you such as property, house, a lover or friend, people important to you.
This kanji 失 has a "lost" nuance more than 無.