Final answer:
The least common denominator between 169 and 36 is 338.
Step-by-step explanation:
To find the least common denominator between 169 and 36, we need to find the smallest number that is a multiple of both 169 and 36. We can start by listing the multiples of each number until we find a common multiple. The multiples of 169 are: 169, 338, 507, 676, 845, 1014, 1183, 1352, 1521, 1690... The multiples of 36 are: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360... From the lists, we can see that 338 is the smallest number that is a multiple of both 169 and 36. Therefore, 338 is the least common denominator between 169 and 36.