The positive integers
and
are such that the numbers
and
are both squares of positive integers. What is the least possible value that can be taken on by the smaller of these two squares?
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The positive integers $a$ and $b$ are such that the numbers $15a + 16b$ and $16a - 15b$ are both squares of positive integers. What is the least possible value that can be taken on by the smaller of these two squares?