Using El Indicativo with a lo mejor/lo mismo

The adverbs: a lo mejor and lo mismo (which can be translated as "maybe"), are always used with the Modo indicativo, even though they are expressing doubt. These are used very often and more colloquially than quizá/quizás/tal vez. See Using El Subjuntivo or El Indicativo after tal vez and quizás to express doubt to learn about these.

Here are some examples:

A lo mejor vamos a Mallorca este verano.We may go to Mallorca this summer.

Pedro y Carmen se miran mucho y se sonrojan. Lo mismo se gustan.Pedro and Carmen look at each other a lot and blush. Maybe they like each other.

A lo mejor me apunto a esas clases de francés.I may sign up for those French lessons.

Juan no ha llegado todavía. Lo mismo se ha quedado dormido.Juan hasn't arrived yet. Maybe he overslept.

A lo mejor and lo mismo are interchangeable and equally colloquial. 

Bear in mind these are invariable - they act as adverbs and they don't need to agree with any other element in the sentence. 

Here are some other examples:

Nadie responde..., lo mismo el restaurante ha cerrado.Nobody is answering..., maybe the restaurant closed down.

Lo mismo coincidimos con Miguel y Carlos en el concierto. Dijeron que a lo mejor iban.We may meet Miguel and Carlos at the concert. They said they might go.

No sé cómo lo saben mis padres. Lo mismo mi hermano se chivó.I don't know how my parents know. Maybe my brother snitched on me.

A lo mejor me compro ese vestido que vi ayer.I may buy that dress I saw yesterday.

Estoy muy estresada. A lo mejor pido un día libre en el trabajo.I'm very stressed. Maybe I'll ask for a day off work.

See also Using definite articles + mismo to say "the same"

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A lo mejor me apunto a esas clases de francés.I may sign up for those French lessons.
Lo mismo coincidimos con Miguel y Carlos en el concierto. Dijeron que a lo mejor iban.We may meet Miguel and Carlos at the concert. They said they might go.
Juan no ha llegado todavía. Lo mismo se ha quedado dormido.Juan hasn't arrived yet. Maybe he overslept.
A lo mejor vamos a Mallorca este verano.We may go to Mallorca this summer.
A lo mejor me compro ese vestido que vi ayer.I may buy that dress I saw yesterday.
No sé cómo lo saben mis padres. Lo mismo mi hermano se chivó.I don't know how my parents know. Maybe my brother snitched on me.
Pedro y Carmen se miran mucho y se sonrojan. Lo mismo se gustan.Pedro and Carmen look at each other a lot and blush. Maybe they like each other.
Estoy muy estresada. A lo mejor pido un día libre en el trabajo.I'm very stressed. Maybe I'll ask for a day off work.
Nadie responde..., lo mismo el restaurante ha cerrado.Nobody is answering..., maybe the restaurant closed down.
Let me take a look at that...