Two positive integers a and b can be written as a-x3 y2 and b-x y3- where x- y are prime numbers- Find LCM a- b-

It is given that, nbsp;a nbsp;= nbsp;x3y2 nbsp;and nbsp;b nbsp;= nbsp;xy3, where nbsp;x, y nbsp;are prime numbers. LCM nbsp;(a, b) = nbsp ...

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Standard VI

Mathematics

Prime and Composite Numbers

Two positive ...

Question

Two positive integers a and b can be written as a = x³y² and b = xy³, where x, y are prime numbers. Find LCM (a, b).

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Solution

It is given that, a = x³y² and b = xy³, where x, y are prime numbers.

LCM (a, b) = LCM (x³y², xy³)
= The highest of indices of x and y
= x³y³

Hence, LCM (a, b) is x³y³.

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Two positive integers a and b can be written as a = x3y2 and b = xy3, where x, y are prime numbers. Find LCM (a, b).

It is given that, a = x3y2 and b = xy3, where x, y are prime numbers. LCM (a, b) = LCM ​(x3y2, xy3) = The highest of indices of x and y = x3y3 Hence, LCM (a, b) is x3y3.

Two positive integers a and b can be written as a = x³y² and b = xy³, where x, y are prime numbers. Find LCM (a, b).

It is given that, a = x³y² and b = xy³, where x, y are prime numbers.

LCM (a, b) = LCM (x³y², xy³)
= The highest of indices of x and y
= x³y³

Hence, LCM (a, b) is x³y³.