let the 3 consecutive integers be

x - 1, x, x + 1

where x is integer

the sum of three consecutive integers is 108 thus

x - 1 + x + x + 1 = 108

by simplifying and solving we find

x = 36

the numbers are

x - 1 = 35

x = 36

x + 1 = 37

the smallest integer is 35.