Question

Find gcd(92928, 123552) and lcm(92928, 123552), and verify that gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552. [Hint: First find the prime factorizations of 92928 and 123552.]

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Answer to a math question Find gcd(92928, 123552) and lcm(92928, 123552), and verify that gcd(92928, 123552) · lcm(92928, 123552) = 92928 · 123552. [Hint: First find the prime factorizations of 92928 and 123552.]

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Maude

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92928 = 2×2×2×2×2×2×2×2×3×11×11 123552 = 2×2×2×2×2×3×3×3×11×13 Common multiple: 2, 2, 2, 2, 2, 3, 11 GCD: Multiply the common multiple: 1056 LCM = 2×2×2×2×2×2×2×2×3×3×3×11×11×13 = 10872576 92928 · 123552 = 1.148*10^{10}

1056*10872576=1.148*10^{10}

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