In one embodiment, a method comprises: identifying, by a low power and lossy network (LLN) device in a low power and lossy network, a minimum distance value and a distance limit value for limiting multicast propagation, initiated at the LLN device, of a multicast data message in the LLN; and multicast transmitting, by the LLN device, the multicast data message with a current distance field specifying the minimum distance value and a distance limit field specifying the distance limit value, the multicast transmitting causing a receiving LLN device having a corresponding rank in the LLN to respond to the multicast data message by: (1) determining an updated distance based on adding to the current distance field a rank difference between the receiving LLN device and the LLN device, and (2) selectively retransmitting the multicast data message if the updated distance is less than the distance limit value.