Two positive integers ‘a’ and ‘b’ can be expressed as a = x

3

y

2

and b = xy3

Two positive integers ‘a’ and ‘b’ can be expressed as a = x

3

y

2

and b = xy3

x and y are prime numbers .What is the

L.C.M and H.C.F of a and b? (CBSE 2019)​

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2 thoughts on “Two positive integers ‘a’ and ‘b’ can be expressed as a = x<br /><br />3<br /><br />y<br /><br />2<br /><br />and b = xy3<br /><br”

  1. Answer:

    Given:

    a = x3y2

    = X x X x X x Y x Y

    and

    b = xy3

    = X x Y x Y x Y

    where a and b are positive integers and x and y are prime numbers.

    So,

    the LCM of a and b will be x3y3 .

    Now , H.C.F

    Given that,

    a =x3y2 = x × x × x × y × y

    and b = xy3 = x × y × y × y

    ∴ HCF of a and b = HCF (x3y2,xy3)

    = x × y × y

    = xy2

    [Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]

    HOPE THIS HELP YOU !!!!!!!

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