To identify the Least Common Denominator (LCD) in the equation \( 35x - 32x = 10 \), we first look for any denominators present in the equation. However, in this particular equation, there are no fractions or denominators present.
Since there are no denominators in this equation, technically, the LCD does not apply here. However, if you were looking for the possible denominators from any fractions in another context or example, they would need to be considered.
Given that there are no denominators, if you must choose from the provided options (2, 5, 10, 15), it's not clear how they are relevant since there are no denominators in the original equation to form an LCD.
If you need guidance based on different equations that do have denominators, please provide those equations. Otherwise, with the given information, there is no specific LCD that applies.