import Mathlib

set_option maxHeartbeats 0

open BigOperators Real Nat Topology Rat

theorem mathd_numbertheory_495
  (a b : ℕ)
  (h₀ : 0 < a ∧ 0 < b)
  (h₁ : a % 10 = 2)
  (h₂ : b % 10 = 4)
  (h₃ : Nat.gcd a b = 6) :
  108 ≤ Nat.lcm a b := by sorry