What is the journey time to our nearest galaxy?

Andromeda, the galaxy closest to the Milky Way, is about 2.5 million light years away. To travel in space, we need to achieve the speed of light, which is about 3,00,000 kilometres per second. Even at that great speed, it will take us about 2 million years (not 2.5 million years due to an effect called time dilation) to reach Andromeda.