Malcolm McLaren's body was discovered in the North Lanarkshire town's Clark Street at about 10:25 on Thursday.
Police Scotland said forensic teams have examined the scene and officers were gathering CCTV footage from the area.
They have also been carrying out door-to-door inquiries for any information which could assist the investigation.
Det Ch Insp Paul Livingstone, who is leading the inquiry, said: "Extensive inquiries have been ongoing with specialist officers and forensics teams conducting examinations at the scene.
"We are working to establish a motive for this murder and we are in the process of piecing together Mr McLaren's movements in the days leading up to his death.
"Inquiries so far have revealed that he was in Airdrie town centre around 1500 hrs on Wednesday afternoon before making his way home to Clark Street.
"It's important we establish Mr McLaren's movements from then on, where he went, who he saw, who he met. So, if anyone has any information or was in town centre or Clark Street on Wednesday afternoon, please do get in touch with us. Your information could prove vital in our inquiries."

The Isle of Man Met Office predicts wind speeds could reach up to 55mph (88km/h) later and on Thursday.
The 08:45 GMT sailing between Douglas and Heysham and the 14:15 are affected, the Isle of Man Steam Packet Company said.
A spokesman said the 19:45 and overnight service could also face disruption or cancellation.
Affected passengers have been asked to contact the company.
The Met Office has issued a yellow warning for cold and windy weather on Wednesday, Thursday and Friday, with a "likelihood of hail, snow and temperatures close to zero".
It has also issued a flood warning for Peel promenade at high tide at 10:15.

The on-loan Bristol City striker fired home after a one-two with Bobby Grant.
Fleetwood goalkeeper Chris Maxwell saved Michael Bostwick's penalty after Shaquile Coulthirst was fouled by Eggert Jonsson, whose second-half header sealed victory.
Victory lifted Fleetwood into 19th, one point above the relegation zone.
A murder investigation is underway after the body of a 40-year-old man was found in a flat in Airdrie.
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Strong winds have led to the cancellation of two ferry crossings between the Isle of Man and Lancashire.
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Wes Burns scored his fifth goal in eight games as Fleetwood Town beat Peterborough to move closer to League One safety.