Express $90$ as the product of its prime factors. [1] $90k$ is a perfect square. Find the smalle

Question

Express $90$ as the product of its prime factors. [1] $90k$ is a perfect square. Find the smallest positive integer value of $k$. [1] Find two numbers, both smaller than $40$, that have a lowest common multiple of $90$ and highest common factor of $6$. [2]

Accepted Answer

(a) $2\times3^2\times5$ (b) $k=10$ (c) $18$ and $30$

Primes, HCF and LCM - Highest Common Factor and Its Applications

Primes, HCF and LCM - Highest Common Factor and Its Applications

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