Legionella are bacteria that are common in natural (rivers and lakes etc) and artificial water systems, eg hot and cold water systems (storage tanks, pipework, taps and showers).
Legionella can survive in low temperatures, but thrive at temperatures between 20oC and 45oC. High temperatures of 60oC and over will kill them.
Legionella bacteria can multiply in hot or cold water systems and storage tanks and then be spread, eg in spray from showers and taps. Although the generally high throughput and relatively low volume of water held in smaller water systems reduces the likelihood of the bacteria reaching dangerous concentrations.
A slight digression... Wouldn't the chlorine in mains water in a home setting negate the need for higher temps to kill them? We have our thermostat on the hot water tank set to 55C. Hasn't killed us yet. But it's a small tank and probably the whole capacity (if not more) is cycled daily. Our shower is a cold fed electric one so the hot tank has nowt to do with it.