3. Let a 15120 and b = 44550. (a) For each of a and b, derive the form n2 (2) z = P₁ P₂² .Pk Show the details of factorization. No need to quote the divisibility rules. nk . (b) Use the results from part (a) and a relevant formula (but do not use the Eu- clidean Algorithm), to derive gcd(a, b) in the form (2). (c) Use the results from part (a) and a relevant formula (but do not use the Eu- clidean Algorithm), to derive lcm(a, b) in the form (2).
3. Let a 15120 and b = 44550. (a) For each of a and b, derive the form n2 (2) z = P₁ P₂² .Pk Show the details of factorization. No need to quote the divisibility rules. nk . (b) Use the results from part (a) and a relevant formula (but do not use the Eu- clidean Algorithm), to derive gcd(a, b) in the form (2). (c) Use the results from part (a) and a relevant formula (but do not use the Eu- clidean Algorithm), to derive lcm(a, b) in the form (2).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Let a = 15120 and b = 44550.
(a) For each of a and b, derive the form
n1 n2
(2)
2 = P₁ P₂
Show the details of factorization. No need to quote the divisibility rules.
nk
Pk
(b) Use the results from part (a) and a relevant formula (but do not use the Eu-
clidean Algorithm), to derive gcd(a, b) in the form (2).
(c) Use the results from part (a) and a relevant formula (but do not use the Eu-
clidean Algorithm), to derive lcm(a, b) in the form (2).
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