Bone, Exercise, Alendronate, and Caloric Restriction

Inclusion Criteria: * Community-dwelling * BMI\>30 kg/m\^2 or BMI 25.0 to \<30 kg/m\^2 plus one risk factor * Currently receiving routine (annual) dental care * Pre-existing low bone mass (T-score ≤-1.1 to \>-2.5 at the hip, femoral neck, or lumbar spine (L1-L4)) Exclusion Criteria: * Weight greater than 450 lbs (DXA limit) * Resides with someone who is currently participating in BEACON * Dependent on quad cane or walker; inability to walk independently * History of mild cognitive impairment or dementia or evidence of cognitive impairment ((score \<20) on Montreal Cognitive Assessment (MoCA)) * Excessive alcohol use (\>21 drinks/week) in the past month; any non-cannabis illicit drug use * Weight change ≥5% in past 3 months * Regular participation (\>60 mins per day on \> 3 days/week) in structured strength training program for \>6 months * Severe arthritis, fracture, chronic injury, or other musculoskeletal disorder that prevents safe exercise participation; joint replacement or other orthopedic surgery in past 6 months or planned in next 12 months; invasive dental procedure (i.e. extraction/implant) in past 6 month or planned in next 12 months * Osteoporosis (any of the following): Self-reported and on prescription osteoporosis medication; self-reported prior spine, hip, wrist, or shoulder fracture after age 40 (except when caused by trauma or fall from height), including atypical femoral fractures (AFF); or ≥20% for major osteoporotic fracture at screening * Uncontrolled…