期 is built from the 其 (that / winnowing basket) and 月 components.
It belongs to a phonetic family with 基, 旗, 棋, and 欺 — they share the 其 component and the reading キ.
A common word using 期 is ~期 (~き), meaning “~age, ~period”.
Kanji that look similar include 棋, 欺, 基, and 碁.