Find the least common multiple of 8b^2 and 5n^3

The lcm is; 40b^2n^3

Step-by-step explanation:

There are no common factors between the two expressions and as such the lcm will be found by obtaining the product of he two;

8b^2*5n^3 = 40b^2n^3

For this case, we have that by definition, the LCM of two or more natural numbers, is the smallest natural number that is a common multiple of all of them.

Then, the LCM of 8 and 5 is the smallest positive integer that divides both numbers without leaving residues.

Multiplos:

8: 8,16,24,32,40,48

5: 1,10,15,20,25,30,35,40,45

Thus, the LCM of 8 and 5 is 40.

Therefore the LCM of the given expressions is:

y= -