The term "Landing Climb Limit Weight" is a misnomer. The correct term would be "Maximum Landing Weight Limited by Climb Requirements", or in short "climb-limited landing weight".
Thanks Hazel
This was definitely causing some confusion here as we were so obsessed with the term "Landing Climb" thinking that "Approach Climb Limit Weight" will be given in another table/section.
Boeing's FCOM just presents one table with the name "Landing Climb Limit Weight" which covers both Landing Climb and Approach Climb.
Secondly, the weight difference is not because of dispatch or in-flight performance methods. It is due to gear remaining permanently extended in one condition and temporarily extended in the other.
I would recommend heeding HN39's counsel
Thanks JT
Less and less info seems to be making its way into the FCOMs these days
Yes OK465, the "Text" section explains just the method of determining the value from the table in two lines. Nothing about the table itself.