Question

If a = x³y⁵, b = x⁴y⁴ then LCM(a, b) = ​

Answer 1

Answer:

x³y⁴

Step-by-step explanation:

Let's factorize them,

a = x³y⁵ = (x) (x) (x) (y) (y) (y) (y) (y)

b = x⁴y⁴ = (x) (x) (x) (x) (y) (y) (y) (y)

Let's take common,

a = (x) (x) (x) (y) (y) (y) (y) (y)  [ They have 3 x in common and 4 y in common

b = (x) (x) (x) (x) (y) (y) (y) (y)     as highlighted ]

∴ LCM = (x) (x) (x) (y) (y) (y) (y) = x³y⁴

          Hope it is helpful. Take care.