2000 PMWC Problems/Problem I7

Problem

$a$ and $b$ are two numbers that have prime factors $3$ and $5$ only. $a$ has $12$ factors ($1$ and itself are included), $b$ has $10$ factors ($1$ and itself are included), and their HCF (Highest Common Factor) is $75$. What is the LCM (Least Common Multiple of $a$ and $b$?

Solution

See Also