LeBron James’ stretch of greatness over his past five games has truly been historic.

With his 32-point effort Sunday against the Los Angeles Lakers, James became the first player in NBA history to record five consecutive 30-point games while also shooting 60 percent. He also became the first player in Heat history to score at least 30 points in five games in a row.

“I say this to Miami fans,” Heat coach Erik Spoelstra said of James. “Don’t take it for granted. He’s making greatness look easy.”

Statistically, James’ offensive tear over the past week has been the best of his career. He was 12 of 18 from the field in the Heat’s 107-97 victory over the Lakers — and has made a staggering 75.4 percent of his past 65 shots.

“That’s pretty cool,” James said when told about the statistic.

Of course, James is always at the top of his game against the Lakers. He has scored at least 30 points in eight games against the Lakers in his career.

After scoring 39 points earlier this season in Los Angeles, James finished the Heat’s two-game season series against the Lakers with 71 total points. For the series, James was 29 of 43 (67.4 percent) from the field.

Only Kevin Durant (22) and Kobe Bryant (21) have more games of at least 30 points this season than James (19). After scoring at least 20 points in his first 33 games of the season, James picked up his game offensively last month. He has scored at least 30 points in nine of his past 13 games.

James’ 30-point streak began against the Raptors, when he finished with 30 points on 10-of-16 shooting. He had 31 points the following night against the Bobcats, going 13 of 14 from the field.

On Wednesday against the Rockets, James was 11 of 18 from the field for 32 points. He needed just 11 shots for 30 points on Friday against the Clippers.

The efficiency of James’ run of play over the past five games will one day be the stuff of legend.

Not since Shaquille O’Neal in 2006 has a Heat player shot more than 60 percent from the field in five consecutive games (minimum 10 field-goal attempts) and James is he first non-center in franchise history to accomplish the feat.

James has shot at least 50 percent in 13 of his past 14 games. During that stretch, he is shooting 61.8 percent (157 of 254) from the field. For the season, James is shooting 56.2 percent, a career high.

Fast starts

James has been perfect from the field in three of the Heat’s four first halves during the current five-game homestand. James was 4 of 4 from the field in the first half against the Lakers. He was 6 of 6 from the field in first halves against the Bobcats and Clippers.

dominating L.A.

The Heat’s sweep of the two Los Angeles franchises in a three-day span provided a sweet personal victory for Mario Chalmers, who outplayed Clippers guard Chris Paul on Friday and then got the best of Lakers point guard Steve Nash on Sunday.

“It’s always extra motivation when you go up against some guards that’s considered the best,” Chalmers said. “I just wanted to do my best against them.”

Chalmers outscored Paul by 15 points and was arguably more active than Nash. Nash outscored Chalmers 15-13, but Chalmers had more assists (3-2) and rebounds (4-2) in about three fewer minutes of work.