California

Motorcycle:

“a motor vehicle that has a seat or saddle for the use of the rider, and
is designed to travel on not more than three wheels in contact with the ground per California Vehicle Code (CVC) 400 (a) and whose motor displaces more than 150 cubic centimeters (150cc).”

Motor-Driven Cycle:

“a motorcycle with a motor that displaces less than 150cc per CVC 405.”

Moped or Motorized Bicycle:

“any two or three wheeled device having fully operative pedals for propulsion by human power, or having no pedals if powered solely by electrical energy, has an automatic transmission, and a motor which produces less than 4 gross brake horsepower and is capable of propelling the device at a maximum speed of not more than 30 miles per hour on level ground.”

(Source: https://www.chp.ca.gov/programs-services/programs/california-motorcyclist-safety/motorcycles-andsimilar-vehicles)
Vector image of California
LicensingMinimum AgeRegistrationInsuranceHelmet
MotorcycleM116RequiredLiability insurance requiredRequired
Motor-Driven CycleM116RequiredLiability insurance requiredRequired
Moped or Motorized BicycleM2 (Motorized bicycles, mopeds, and motorized scooters)16RequiredNot required for registrationRequired
(Sources: https://www.dmv.ca.gov/portal/vehicle-registration/new-registration/motorcycles-mopeds-and-scooters; https://www.dmv.ca.gov/portal/vehicle-registration/new-registration/register-a-motorcycle; https://www.dmv.ca.gov/portal/file/motorcycle-driver-handbook-pdf; https://www.dmv.ca.gov/portal/file/california-driver-handbook-pdf)