Technically you don't follow the teachings of one Sammasambuddha to become another Sammasambuddha. You have to do it all by yourself. Even if you do Samatha/Vipassana meditation, you won't be able to go pass the Jhanas. Usually people who don't understand the enormity of the task are discouraged to have such aspirations.
It all started for our Bodhisatva when he swam seven days in the ocean to rescue his mother, carrying her on his back. It is said that when the Mahabrahma saw this, he thought to himself that a being of such courage, energy and determination is worthy of aspiring for only one goal. That is to become a Sammasambuddha. So he planted the thought in the Bodhisattas mind through his mother. When they reached the shore, his mother's heart overflowed with happiness and gratitude and told the Boddhisatva "May you become a Buddha one day my wonderful son!". That is when the thought first entered his mind. From that point onwards, he thought about becoming a Buddha over a period of "Sath(seven) Asankya Kalpas". During that time he saw 125,000 Sammasambuddhas. After that he not only thought about it, but also spoke about his intentions of becoming a Sammasambuddha over a period of "Nava(nine) Asankya Kalpas". During that period, he met 387,000 Sammasambuddhas. So in total, he spent 16 Asankya Kalpas just thinking and speaking about it. Only after such a long time, he met the Buddha Deepankara and got the confirmation to become a Buddha in the future. Then he had to perfect the Dasa Paramitha in three ways over a period of "Sarasankya Kalpa Lakshaya". During that period he saw 27 Sammasambuddhas. So from the life he started thinking about it, he spent a total of (20*Anankya*Kalpa + 100,000*Kalpas) to attain Buddhahood. The next and the final Buddha who is going to appear before the end of the world is Buddha Maitreya. After him, there will be a period of vast number of Kalpas without any Buddhas.
So, if you are thinking of becoming a Buddha, you will have to wait a very very long time. It is said that Pacceca Buddhas are a result of those who aspire to become Buddhas but never get the confirmation from another Buddha.
If all of the above doesn't discourage you and if you think you are a person capable of great deeds like swimming for seven days to rescue your mother, start by cultivating Dasa Paramita. :) There's a detailed explanation about Paramitha in the Buddhawamsa.