Julia goes running every 4 days and weight lifts every 3 days. How many days until she will run and lift on the same day?

To find out when Julia will run and lift on the same day, we need to find the least common multiple of 4 and 3.

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...

The least common multiple of 4 and 3 is 12. Therefore, Julia will run and lift on the same day every 12 days.