Does polyphase resampling have very heavy work load for 44100 48000?

Hi everyone!

I need to resample audio data between common sample rates. I noticed Intel IPP have resampling utility based on polyphase resampling. However, polyphase resampling firstly up-sample data to the least common multiple of the two sample rates, then perform a low-pass filter on that high sample rate. So if the source and target sample rates produce a very large least common multiple (such as commonly used 44100 and 48000 Hz), would it have very high work load? As the least common multiple of 44100 and 48000 is as high as 7 MHz!

Thanks for a lot!