275/60R15 is 0.04" taller than 235/70R15, a +0.14% change in diameter, inside the 3% range most shops treat as a safe swap.
Ground clearance changes by 0.02" (half the diameter change), and the tire needs 0.02" more room above it.
275/60R15 is 1.57" wider. On the same wheel offset about half of that, 0.79", moves toward the suspension and half toward the fender.
Both fit a 15" wheel; the sidewall is 0.02" taller on 275/60R15.
Details: 235/70R15 in inches · 275/60R15 in inches · change sizes in the calculator