You will usually also see a very small peak one unit after the M+ peak. This is the M+1 peak.
The M+1 peak exists because 1.1% of carbon is present as the carbon-13 isotope.
E.g. propan-1-ol has a molecular mass of 60, but a small proportion of the alcohol molecules will contain an atom of C13 and thus have a molecular mass of 61. This gives the small M+1 peak