LCM(1–10): The Resonant Alignment at 2520

In the Harmonic Factorization Field (HFF), certain numbers stand out as perfect resonance nodes — points where multiple harmonic frequencies align. One of the earliest and most remarkable of these is 2520 — the least common multiple (LCM) of the integers from 1 through 10.

At n = 2520, every divisor from 1 to 10 fits perfectly into the number. In the HFF visualization, this creates a striking pattern: a vertical column of resonance where all divisor bands intersect.

The divisor grid around 2520 shows this alignment as a perfectly synchronized moment — a visual chord in the language of numbers. Each divisor line converges on this single point, marking the smallest number evenly divisible by all ten integers.

In the HFF, this is not just a numerical fact — it’s a harmonic event. The number 2520 becomes a beacon of resonance, a point where arithmetic aligns into a perfect harmonic state. By revealing these nodes, the HFF transforms abstract number theory into a visible geometry of resonance.