Is a lesser included crime within the elements of a greater crime?

In deciding whether an offense is necessarily included in another under the elements test, we ask whether "'"'all the legal ingredients of the corpus delicti of the lesser offense [are] included in the elements of the greater offense.' [Citation.]"' [Citation.] In other words, 'if a crime cannot be committed without also necessarily committing a lesser offense, the latter is a lesser included offense within the former.' [Citation.]" (People v. Montoya (2004) 33 Cal.4th 1031, 1034.)