Question

If two positive integers $a$ and $b$ are written as $a = x^3y^2$ and $b = xy^3$, where $x$ and $y$ are prime numbers, then $	ext{LCM}(a, b)$ is:

Accepted Answer

C. To find the LCM, take the highest power of each prime factor involved: - Power of $x$: $\max(3, 1) = 3$ - Power of $y$: $\max(2, 3) = 3$ $$	ext{LCM}(a, b) = x^3 y^3$$

LCM of numbers in prime factorized form

Explanation

Practise this under board exam conditions