If $X_{n}$ and $Y_{n}$ denote two sequences of integers defined as follows:

$X_{0} = 1$
$X_{1} = 1$
$X_{n+1} = X_{n} + 2 \times X_{n-1}$

$Y_{0} = 1$
$Y_{1} = 7$
$Y_{n+1} = 2 \times Y_{n} + 3 \times Y_{n-1}$

$n = 1,2,3,...$

Thus, the first few terms of the sequences are:

$X: 1, 1, 3, 5, 11, 21, ...$
$Y: 1, 7, 17, 55, 161, 487, ...$

Let the largest number that occurs in both the sequences be $m$.

Give the answer as $(m \times 123^{m+1})$