lean_workbook_plus_11432

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Let us first deal with $a$ and $b$ . We know that $\gcd(a, b) * \operatorname{lcm}(a, b) = ab \implies ab = 2 * 30 = 60$ . Guess and check leads to $30$ and $2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11432  (a b : ℕ)
  (h₀ : 0 < a ∧ 0 < b)
  (h₁ : Nat.lcm a b = 30)
  (h₂ : Nat.gcd a b = 2) :
  a * b = 60   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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