document.write( "Question 209585: Is the LCM of two numbers always divisible by the GCF of the two numbers? If so why. If not give an example \n" ); document.write( "
Algebra.Com's Answer #158548 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Given two numbers, the GCF is the lower power of common prime factors \n" ); document.write( ". \n" ); document.write( "and the LCM, is the greater power of common prime factors. \n" ); document.write( ". \n" ); document.write( "Since common factors are divided by common factors, division is possible \n" ); document.write( ". \n" ); document.write( "for example,,,,20,and 30 \n" ); document.write( ". \n" ); document.write( "Prime factorization is,,,,2^2*5,,,2*3*5,,,respectively \n" ); document.write( ". \n" ); document.write( "GCF = 2*5=10 \n" ); document.write( ". \n" ); document.write( "LCM = 2^2 *3*5 =60 \n" ); document.write( ". \n" ); document.write( "LCM/GCF = 60/10 =6 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |