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LLM serving VRAM calculator

How much GPU memory does it take to serve a model? Estimate weights, KV cache, and overhead for any precision, context length, and concurrency.

14.9 GB
Weights
1.0 GB
KV cache
3.2 GB
Overhead
19.1 GB
Total VRAM

Fits on a single RTX 4090 (24 GB).

How the estimate works

Serving memory breaks into three parts. Weights are the parameter count times the bytes per parameter — 2 bytes at fp16, 1 at fp8/int8, 0.5 at int4. The KV cache holds the keys and values for every token in context, for every layer, for every concurrent request: 2 × layers × KV-heads × head-dim × context × concurrency × bytes. Grouped-query attention (GQA) is why this term is smaller than it looks — a 70B model with 8 KV heads caches far less than its 64 attention heads would imply. Overhead — activations, memory fragmentation, the CUDA context, and the pager's slack — is the rest, here a flat percentage of the two real terms.

The numbers are first-order: a paged-attention server (vLLM, TensorRT-LLM) packs the KV cache more tightly, and real activation memory varies with the kernel. Use it to size a deployment, not to predict the last gigabyte.

The deeper reasoning behind each term is in how much VRAM it takes to serve an LLM, and the throughput side — how that memory becomes concurrency — in LLM serving capacity planning. Paying for an API instead of self-hosting? The LLM API cost calculator sizes the per-token bill.

Sources

  1. EleutherAI — Transformer Math 101 (memory and KV-cache equations)
  2. vLLM documentation — PagedAttention and KV-cache management

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