Find gcd(92928, 123552) and lcm(92928, 123552), and verify that gcd(92928, 123552) · lcm(92928, 123552 ) = 92928 · 123552
1 answer:
We know that 92928-----------> (2^8)*(3)*(11²) 123552---------> (2^5)*(3³)*(11)*(13) then gcd-------> (2^5)*(3)*(11)--------> 1056 lcm-------> (2^8)*(3³)*(11²)*(13)---------> 10872576 step 1 find [<span>gcd(92928, 123552) * lcm(92928, 123552 )] </span>=[(2^5)*(3)*(11)]*[(2^8)*(3³)*(11²)*(13)]-> (2^13)*(3^4)*(11³)*(13)=equation 1 step 2 find [<span>92928 * 123552] =[</span>(2^8)*(3)*(11²)]*[(2^5)*(3³)*(11)*(13)] =(2^13)*(3^4)*(11³)*(13)-----> equation 2 <span>I compare equation 1 with equation 2 </span>and equation 1=equation 2 hence [gcd(92928, 123552)*lcm(92928, 123552)]=[92928*123552] the answer is a) <span>gcd (92928,123552)</span> is (2^5)*(3)*(11)--------> 1056 b) lcm <span>(92928,123552) </span>is (2^8)*(3³)*(11²)*(13)---------> 10872576 c) [gcd(92928,123552)*lcm(92928,123552)]=[92928*123552]----> verified
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