nx_evo_lcm.nx

nx_evo_lcm.nx -- COMPOUNDING derivation toward self-sufficiency ("adam+eve making kids, their kids making kids"): derive lcm by COMPOSING the already-DERIVED gcd (a prior kid) as a primitive. lcm(a,b) = a*b / gcd(a,b). The op-set gives the search the inputs a,b, multiply, and a DIV-by-gcd op that calls gcd_evolved -- the structure the SEARCH derived earlier (nx_evo_gcd, body [1 3 0 2]), inlined verbatim. So the derived gcd (KID) becomes the building block for deriving lcm (GRANDKID) -- the lineage growing on itself, not a one-off. Self-verifies the derived lcm vs true lcm across a grid. I author the MACHINE (substrate); the SEARCH composes lcm; full self-sufficiency (team authors the machine + an unattended loop) is the horizon this steps toward. license_tier: ORIGINAL