Prime Component Normalization & Integer Factor Analysis Matrices

Isolating the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) requires parsing individual prime factor vectors. This multi-integer computing matrix evaluates arrays of up to 5 discrete integers to extract common scaling boundaries.

Methodology: The computational layer executes Euclid's algorithm sequentially ($GCD(a, b) = GCD(b, a \pmod b)$) to isolate common divisors. It then calculates the LCM using standard scalar scaling ratios ($LCM(a, b) = |a \cdot b| / GCD(a, b)$).