document.write( "Question 1192332: Consider the integers m=2^3*3^2*5^3*7^4*11^2*13^5*17^4 and n=2^5*7^8*19^9.\r
\n" ); document.write( "\n" ); document.write( "1.) Note that 2^3 is a factor of both m and n. Show that 2^3 is a factor of m+n.
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Algebra.Com's Answer #824234 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"m=2%5E3%2A3%5E2%2A5%5E3%2A7%5E4%2A11%5E2%2A13%5E5%2A17%5E4\" and \"n=2%5E5%2A7%5E8%2A19%5E9\"\r\n" );
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document.write( "\"%22GCF%28m%2Cn%29%22\"\"%22%22=%22%22\"\"2%5E3%2A7%5E4\"\r\n" );
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document.write( "That's because \r\n" );
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document.write( "a.  3 is the smaller power of the common prime factor 2.\r\n" );
document.write( "b.  4 is the smaller power of the common prime factor 7.\r\n" );
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document.write( "\"%22LCM%28m%2Cn%29%22\"\"%22%22=%22%22\"\"2%5E5%2A3%5E2%2A5%5E3%2A7%5E8%2A11%5E2%2A17%5E4%2A19%5E9\"\r\n" );
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document.write( "That's because\r\n" );
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document.write( "a.  5 is the larger power of the common prime factor 2.\r\n" );
document.write( "b.  8 is the larger power of the common prime factor 7.\r\n" );
document.write( "c.  all the other factors of both numbers are included.\r\n" );
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document.write( "3.) \"2%5E3%2A7%5E4\" is a factor of \"2%5E5%2A3%5E2%2A5%5E3%2A7%5E8%2A11%5E2%2A17%5E4%2A19%5E9\"\r\n" );
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document.write( "because a smaller power of a prime is always a factor of a\r\n" );
document.write( "larger power of the same prime.\r\n" );
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document.write( "Edwin
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