Police said officers remained at both addresses to carry out thorough searches of each property.
Det Insp Neil Holden, from the East Midlands Special Operations Unit’s major crime team, said: “This is a very complex and sensitive investigation, which will take time.
“I appreciate the news of this investigation will be concerning to the local community, and I must emphasise the investigation is in its very early stages as we continue to establish the full circumstances of the report.
“Given the serious nature of the allegations which have been made, a scene preservation has been put in place at both addresses to allow officers to carry out a thorough search and secure any evidence that could help our enquiries.
“Officers from the West Leicester Neighbourhood Policing Area remain in the area to provide further reassurance to the local community.
“Please speak to us if you have any information that you think could help us. I would also ask our communities to avoid the sharing of misinformation and speculation. Please only share information which is known to be true.
“We will provide further updates to you as and when we are able to and when it is appropriate to do so.”