Find the least common multiple of 7 and 11.
The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, ...
The multiples of 11 are 11, 22, 33, 44, 55, ...
The least common multiple of 7 and 11 is the smallest number that is a multiple of both numbers. Looking at the list of multiples, we see that 77 is the smallest number that is a multiple of both 7 and 11. Therefore, the least common multiple of 7 and 11 is 77. Answer: \boxed{77}.