Question
Find the product of the greatest common divisor of 48 and 72 and the least common multiple of 48 and 72 . Compare this result to the product of 48 and 72 . Write a conjecture based on your observation.
Step 1
The prime factorization of 48 is 2^4 * 3, and the prime factorization of 72 is 2^3 * 3^2. The GCD is the product of the lowest powers of the common prime factors, which is 2^3 * 3 = 24. Show more…
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