Three friends, Liam, Chloe, and Mia, compared their ages.
Liam: "Interestingly, all our ages are 2-digit prime numbers."
Chloe: "The sum of Liam's age and mine is the day of Mia's birthday, which is later this month."
Mia: "That's odd. The sum of Liam's age and mine is today's date."
Liam: "And the sum of Chloe's age and Mia's age is the day of Chloe's birthday, which was earlier this month."
What is Liam's age?