If you're encoding bytes (at fixed bit length), then the padding is redundant. This is the case for most people.
Base64 consumes 6 bits at a time and produces a byte of 8 bits that only uses six bits worth of combinations.
If your string is 1 byte (8 bits), you'll have an output of 12 bits as the smallest multiple of 6 that 8 will fit into, with 4 bits extra. If your string is 2 bytes, you have to output 18 bits, with two bits extra. For multiples of six against multiple of 8 you can have a remainder of either 0, 2 or 4 bits.
The padding says to ignore those extra four (==) or two (=) bits. The padding is there tell the decoder about your padding.
The padding isn't really needed when you're encoding bytes. A base64 encoder can simply ignore left over bits that total less than 8 bits. In this case, you're best off removing it.
The padding might be of some use for streaming and arbitrary length bit sequences as long as they're a multiple of two. It might also be used for cases where people want to only send the last 4 bits when more bits are remaining if the remaining bits are all zero. Some people might want to use it to detect incomplete sequences though it's hardly reliable for that. I've never seen this optimisation in practice. People rarely have these situations, most people use base64 for discrete byte sequences.
If you see answers suggesting to leave it on, that's not a good encouragement if you're simply encoding bytes, it's enabling a feature for a set of circumstances you don't have. The only reason to have it on in that case might be to add tolerance to decoders that don't work without the padding. If you control both ends, that's a non-concern.
base64-sensible
asbase64
-without-padding, pretty please? These equals characters are completely redundant and therefore utterly pointless. If you write a base64 decoder, please consider not rejecting inputs that don't have the padding. – Joyajoyan