Verified Answer :

You can first find the missing factors of each number to find the lcm
So \(15 = 5*3\) and \(25 = 5*5\)
In order to make them equal, Multiply 15 by 5 and 25 by 3 so that both of them are \(5*3*5\) which equals 75.
After that you can just multiply each by 2, 3, 4, and 5 because all the other common multiples are multiples of 75. You get
150, 225, 300, 375, as well as 75
So:
75
150
225
300
375

15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240, 255, 270,285,300,315,330,345,360,375
25 = 25,50,75,100,125,150,175,200,225,250,275,300,325,350,375

The first 5 common multiples of 15 and 25 are 75, 150, 225, 300, and 375.