Is the LM model liquidity trap?

Excuse me, but could you elaborate on whether the LM model is indeed prone to experiencing a liquidity trap? It's an interesting notion that the intersection of money supply and the demand for money might lead to such an economic quagmire, where further monetary easing fails to stimulate the economy due to a perceived reluctance to invest or spend. I'm particularly curious about the conditions under which this scenario might unfold and how policymakers might address or mitigate the risks associated with a liquidity trap in the context of the LM model.