Answer
$3,420$
Work Step by Step
Factor each number completely to obtain:
$\begin{array}{cccccc}
&342 &= &9(38) &= &3(3)(19)(2) &= &2(3)(3)(19)
\\&380 &= &10(38) &= &2(5)(2)(19) &= &2(2)(5)(19)
\end{array}$
Thus, the least common multiple (LCM) of the two numbers is:
LCM = $2(2)(3)(3)(5)(19) = 3,420$
