Please be aware that Kuala Lumpur and Taipei has multiple airports and that these results are for all airports serving the city.
The best month to fly between Kuala Lumpur and Taipei is September and the most expensive month to fly is March. (Average prices, based on 372 datapoints.)
The best day to arrive at Kuala Lumpur is Saturday and it would be best to avoid Friday, as prices are on average 40% higher than on Saturday. (Average prices, based on 372 datapoints.)
The cheapest airline flying from Kuala Lumpur to Taipei is AirAsia X. They are 59% cheaper than EVA Air. (Average prices, based on 379 datapoints.)
The best time to fly is at around 7. (Average prices, based on 809 datapoints.)