L.C. oscillators use an inductor (L) and a capacitor (C) to form a resonant or tank circuit.
This tank circuit determines the frequency of oscillation and is especially suitable for generating high-frequency signals.
The frequency of an L.C. oscillator is given by:
$f = \dfrac{1}{2\pi \sqrt{LC}}$
Because inductors and capacitors can operate efficiently at radio frequencies (RF), L.C. oscillators are the preferred choice for high-frequency applications.
In contrast, R.C. and Wien-bridge oscillators are better suited for audio or low-frequency ranges.