Question

If the prime factorisation of two positive integers a and b are represented by a=x⁵y³ and b =x²z. Write H.C.F.(a,b) and L.C.M.(a,b)​

Answer 1

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H.C.F.(a,b) = x²

L.C.M.(a,b) = x⁵y³z

Step-by-step explanation:

a = x⁵y³ = x * x * x * x * x * y * y* y

b = x²z = x * x * z

H.C.F (a,b)

= product of common factors (lowest powers)

= x * x

= x²

L.C.M (a,b)

= product of uncommon factors (highest power)

= x⁵ * y³ * z

= x⁵y³z