Question

If two positive integers a and b are written as a=x³y² and b = xy³ where x , y are prime numbers then find lcm of A, b

Answer 1

given that,

a=X3Y2

b=XY3

to find the LCM:

we know that,

LCM x HCF = a x b

LCM x XY2 = X3Y2 x XY3

LCM = X3Y2 x XY3

               XY2

LCM = X3 x Y3