I took your version Feng and used rem instead of mod and added a type hint 
and got down from:
23217.321626 => 11398.389942

No idea where to go from here though.  I'm surprised there's such a 
difference even not using any sort of collection.

(defn smallest-multiple-of-1-to-n-hinted-rem
  [^long n]
  (loop [i n]
    (if (loop [d 2]
          (cond (> d n) true
                (not= 0 (rem i d)) false
                :else (recur (inc d))))
      i
      (recur (inc i))))

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