document.write( "Question 6973: Can you tell me if these are correct. Find the greatest common divisor and least commmon multiple for the following numbers.\r
\n" ); document.write( "\n" ); document.write( "a. 45,36,24 GCD = 3 LCM= 12,960
\n" ); document.write( "b. 42,96,104,18 GCD = 2 LCM = 3,919,104\r
\n" ); document.write( "\n" ); document.write( "Thanks a ton.. They just dont seem right.
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Algebra.Com's Answer #3864 by bonster(299)\"\" \"About 
You can put this solution on YOUR website!
a. 45,36,24
\n" ); document.write( "\"GCD+=+3\"
\n" ); document.write( "\"LCM=+360\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b. 42,96,104,18
\n" ); document.write( "\"GCD+=+2\"
\n" ); document.write( "\"LCM+=+26%2C208\" \r
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\n" ); document.write( "\n" ); document.write( "In order to find the GCD, let's look at their prime factorization:\r
\n" ); document.write( "\n" ); document.write( "PROBLEM #1: GCD
\n" ); document.write( "45: \"2%5E0\" x \"3%5E2\" x \"5%5E1\"
\n" ); document.write( "36: \"2%5E2\" x \"3%5E2\" x \"5%5E0\"
\n" ); document.write( "24: \"2%5E3\" x \"3%5E1\" x \"5%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next, find the MINIMUM exponent of each base:
\n" ); document.write( "for 2, the minimum exponent is 0, written as \"2%5E0\"
\n" ); document.write( "for 3, the minimum exponent is 1, written as \"3%5E1\"
\n" ); document.write( "for 5 the minimum exponent is 0, written as \"5%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the minimum exponent of each base and you get:
\n" ); document.write( "\"2%5E0\" x \"3%5E1\" x \"5%5E0\" = 3\r
\n" ); document.write( "\n" ); document.write( "******THE GCD FOR 45,36,24 = 3*****\r
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\n" ); document.write( "\n" ); document.write( "PROBLEM #2: GCD
\n" ); document.write( "42: \"2%5E1\" x \"3%5E1\" x \"7%5E1\" x \"13%5E0\"
\n" ); document.write( "96: \"2%5E5\" x \"3%5E1\" x \"7%5E0\" x \"13%5E0\"
\n" ); document.write( "104: \"2%5E3\" x \"3%5E0\" x \"7%5E0\" x \"13%5E1\"
\n" ); document.write( "18: \"2%5E1\" x \"3%5E2\" x \"7%5E0\" x \"13%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next, find the MINIMUM exponent of each base:
\n" ); document.write( "for 2, the minimum exponent is 1, written as \"2%5E1\"
\n" ); document.write( "for 3, the minimum exponent is 0, written as \"3%5E0\"
\n" ); document.write( "for 7 the minimum exponent is 0, written as \"7%5E0\"
\n" ); document.write( "for 13 the minimum exponent is 0, written as \"13%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the minimum exponent of each base and you get:
\n" ); document.write( "\"2%5E1\" x \"3%5E0\" x \"7%5E0\" x \"13%5E0\" = 2
\n" ); document.write( "*****THE GCD FOR 42,96,104,18 = 2*****\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "PROBLEM #1: LCM
\n" ); document.write( "45: \"2%5E0\" x \"3%5E2\" x \"5%5E1\"
\n" ); document.write( "36: \"2%5E2\" x \"3%5E2\" x \"5%5E0\"
\n" ); document.write( "24: \"2%5E3\" x \"3%5E1\" x \"5%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next, find the MAXIMUM exponent of each base:
\n" ); document.write( "for 2, the MAXIMUM exponent is 3, written as \"2%5E3\"
\n" ); document.write( "for 3, theMAXIMUM exponent is 2, written as \"3%5E2\"
\n" ); document.write( "for 5 the MAXIMUM exponent is 1, written as \"5%5E1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the MAXIMUM exponent of each base and you get:
\n" ); document.write( "\"2%5E3\" x \"3%5E2\" x \"5%5E1\" = 4x9x5=360\r
\n" ); document.write( "\n" ); document.write( "******THE LCM FOR 45,36,24 = 360*****\r
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\n" ); document.write( "\n" ); document.write( "PROBLEM #2: LCM
\n" ); document.write( "42: \"2%5E1\" x \"3%5E1\" x \"7%5E1\" x \"13%5E0\"
\n" ); document.write( "96: \"2%5E5\" x \"3%5E1\" x \"7%5E0\" x \"13%5E0\"
\n" ); document.write( "104: \"2%5E3\" x \"3%5E0\" x \"7%5E0\" x \"13%5E1\"
\n" ); document.write( "18: \"2%5E1\" x \"3%5E2\" x \"7%5E0\" x \"13%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next, find the MAXIMUM exponent of each base:
\n" ); document.write( "for 2, the MAXIMUM exponent is 5, written as \"2%5E5\"
\n" ); document.write( "for 3, the MAXIMUM exponent is 2, written as \"3%5E2\"
\n" ); document.write( "for 7 the MAXIMUM exponent is 1, written as \"7%5E1\"
\n" ); document.write( "for 13 the MAXIMUM exponent is 1, written as \"13%5E1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the MAXIMUM exponent of each base and you get:
\n" ); document.write( "\"2%5E5\" x \"3%5E2\" x \"7%5E1\" x \"13%5E1\" = 26,208
\n" ); document.write( "*****THE LCM FOR 42,96,104,18 = 26,208*****
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