document.write( "Question 1161633: The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. find the larger of the two numbers. \n" ); document.write( "
Algebra.Com's Answer #785253 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"14%2A23=highlight%28322%29\" ,
\n" ); document.write( "assuming that by \"the other two factors\" they mean the factors of each of the two numbers that are factors in the LCM, along with 23,
\n" ); document.write( "the two numbers are
\n" ); document.write( "\"322=14%2A23=2%2A7%2A23\" and \"13%2A23=299\"
\n" ); document.write( "Their LCM is \"2%2A7%2A13%2A23=14%2A13%2A23=4186\"
\n" ); document.write( "
\n" ); document.write( "It would be a more interesting problem if they told you that the LCM of 2 numbers is
\n" ); document.write( "\"4186=2%2A7%2A13%2A23\" and they asked you
\n" ); document.write( "what is the largest number that could be one of the two numbers if the HCF is \"23\".
\n" ); document.write( "
\n" );