document.write( "Question 972502: what is the smallest number that is divisible by 585 nd 624 ? \n" ); document.write( "

Algebra.Com's Answer #594798 by MathLover1(20855) $\"\"$ $\"About$

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recall:
\n" ); document.write( "Least Common Multiple - The smallest number that is divisible by two or more given numbers. \r
\n" ); document.write( "\n" ); document.write( "so, find $\"LCM\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"585\"$ | $\"5+\"$
\n" ); document.write( " $\"117\"$ | $\"3\"$
\n" ); document.write( " $\"39\"$ | $\"3\"$
\n" ); document.write( " $\"13\"$ | $\"13\"$
\n" ); document.write( " $\"1\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"585=3%5E2%2A5%2A13\"$ \r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( " $\"624\"$ | $\"2\"$
\n" ); document.write( " $\"312\"$ | $\"2\"$
\n" ); document.write( " $\"156\"$ | $\"2\"$
\n" ); document.write( " $\"78\"$ | $\"2\"$
\n" ); document.write( " $\"39\"$ | $\"3\"$
\n" ); document.write( " $\"13\"$ | $\"13\"$
\n" ); document.write( " $\"1\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"624=2%5E4%2A3%2A13\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"LCM=2%5E4%2A3%5E2%2A5%2A13=16%2A9%2A5%2A13=9360\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the smallest number that is divisible by $\"585\"$ and $\"624\"$ is $\"9360\"$ \r
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