## Thinking Mathematically (6th Edition)

$48,160$
Factor each number completely to obtain: $\begin{array}{cccccc} &224 &= &8(28) &= &2(2)(2)(4)(7) &= &2(2)(2)(4)(7) \\&430 &= &10(43) &= &2(5)(43) &= &2(5)(43) \end{array}$ Thus, the least common multiple (LCM) of the two numbers is: LCM = $2(2)(2)(4)(5)(7)(43) = 48,160$