Computed with the open FitLLM engine — accurate per-layer KV-cache modeling, not a naive estimate. Updated 2026-10-19.
Conditions: 8-bit · KV cache F16 · 32K context · macOS reserve (8.5 GB).
| Model weights | 3.0 GB |
| KV cache | 3.5 GB |
| Runtime + macOS | 10.4 GB |
| Total used | 16.8 / 32 GB |
| Free | 15.2 GB |
Context at 8-bit: recommended max ~90K tokens (keeps 20% headroom) · hard limit ~128K tokens. Unified memory is shared with macOS and your apps — the recommended max leaves 20% of it free.
| Quant | Weights | Recommended max ctx | Hard limit | Used @32K |
|---|---|---|---|---|
| 4bit | 1.5 GB | ~101K | ~128K | ✅ 15.2 / 32 GB |
| 8bit | 3.0 GB | ~90K | ~128K | ✅ 16.8 / 32 GB |
| 16bit | 6.0 GB | ~68K | ~110K | ✅ 20.2 / 32 GB |
Recommended max = the longest context that still keeps the 20% headroom macOS needs · hard limit = the longest that fits at all (KV cache F16).
Lower quants free memory at some output-quality cost — 4-bit is the common sweet spot for local use.
▶ Open the interactive calculator (this exact setup)Live badge for your README or model card — recomputed by the engine at exactly these conditions, never stale:
[](https://fitllm.run/can-i-run/llama-3-2-3b-instruct-on-m6-32gb)
← renders like this, live.
Or from your terminal (exit 0/1 — works as a pre-download guard):
npx fitllm "Llama-3.2-3B-Instruct" --mac 32 --quant 8 --ctx 32768 --kv 16
Llama-3.2-3B-Instruct's KV cache is computed per layer with its real head_dim and grouped-query head count — not the uniform "all layers × full context" shortcut most calculators use.
same Mac Models that fit in 32GB: Gemma 4 e2b, Gemma 4 e4b, Gemma 4 12b, Llama-3.2-3B-Instruct, Llama-3.1-8B-Instruct, MiniCPM5-1B, Qwen3-0.6B, Qwen3-1.7B, Llama-3.2-1B-Instruct, Gemma-3-1B-it, Spark-X2.5-4B, MiniCPM5-2B.
Open math: fitllm-engine (MIT), from official config.json.
All numbers are computed by the open-source fitllm-engine (MIT) from official model config.json values — reproduce or audit them yourself. Estimates; real usage varies with runtime (llama.cpp / MLX / Ollama), driver and display. Found a mismatch? Report it. · FitLLM home