= Lifting-the-exponent lemma
{wiki=Lifting-the-exponent_lemma}
The Lifting-the-exponent lemma (LTE) is a mathematical result in number theory that provides conditions under which the highest power of a prime \\( p \\) that divides certain expressions can be easily determined. It simplifies the computation of \\( v_p(a^n - b^n) \\) and related expressions, where \\( v_p(x) \\) denotes the p-adic valuation, which gives the exponent of the highest power of \\( p \\) that divides \\( x \\).
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