Question

find the lcm of a^2b and ab^2

Answer 1

The factors of the above expressions are: a2b+ab2=ab(a+b) and a3+a2b=a2(a+b). Here again we see that the highest power of a is a2, that of b is b and that of a+b is a+b. Hence the LCM of these two expressions is a2b(a+b).

Answer 2

Answer:

The factors of the above expressions are: 

$a^{2} b + ab^{2} = ab(a + b) \: and \: \\ {a}^{3} + a ^{2} b = a^{2} (a + b)$

(Here again we see that the highest power of

$a \: is \: {a}^{2} )$

that of b is b and that of a+b is a+b.