document.write( "Question 972502: what is the smallest number that is divisible by 585 nd 624 ? \n" ); document.write( "
Algebra.Com's Answer #594802 by Edwin McCravy(20083) $\"\"$ $\"About$
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document.write( "That's called \"the least common multiple\"or lcm(585,624).\r\n" );
document.write( "We write the prime factorization of each:\r\n" );
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document.write( "Look at prime factor 2:\r\n" );
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document.write( "585 = 3*3*5*13\r\n" );
document.write( "624 = 2*2*2*2*3*13\r\n" );
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document.write( "2 is a factor of 585 0 times.\r\n" );
document.write( "2 is a factor of 624 4 times.\r\n" );
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document.write( "So 2 is a factor of lcm(585,624) 4 times because 4 ≥ 0.\r\n" );
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document.write( "Look at prime factor 3:\r\n" );
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document.write( "585 = 3*3*5*13\r\n" );
document.write( "624 = 2*2*2*2*3*13\r\n" );
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document.write( "3 is a factor of 585 2 times.\r\n" );
document.write( "3 is a factor of 585 1 time.\r\n" );
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document.write( "So 3 is a factor of lcm(585,624) 2 times because 2 ≥ 1.\r\n" );
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document.write( "Look at prime factor 5:\r\n" );
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document.write( "585 = 3*3*5*13\r\n" );
document.write( "624 = 2*2*2*2*3*13\r\n" );
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document.write( "5 is a factor of 585 1 time.\r\n" );
document.write( "5 is a factor of 585 0 times.\r\n" );
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document.write( "So 5 is a factor of lcm(585,624) 1 time because 1 ≥ 0.\r\n" );
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document.write( "Look at prime factor 13:\r\n" );
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document.write( "585 = 3*3*5*13\r\n" );
document.write( "624 = 2*2*2*2*3*13\r\n" );
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document.write( "13 is a factor of 585 1 time.\r\n" );
document.write( "13 is a factor of 585 1 time.\r\n" );
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document.write( "So 13 is a factor of lcm(585,624) 1 time because 1 ≥ 1.\r\n" );
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document.write( "Put it all together:\r\n" );
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document.write( " 2 is a factor of lcm(585,624) 4 times. \r\n" );
document.write( " 3 is a factor of lcm(585,624) 2 times.\r\n" );
document.write( " 5 is a factor of lcm(585,624) 1 time.\r\n" );
document.write( "13 is a factor of lcm(585,624) 1 time.\r\n" );
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document.write( "So lcm(585,624) = 2*2*2*2*3*3*5*13 = 9360. \r\n" );
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document.write( "Edwin
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