555
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555
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Verified answer
As given
Product of two numbers=20535
Means
H.C.F*L.C.M=20535
Put the Value of H.C.F as 37 (Given)
37*L.C.M=20353
L.C.M=20353/37
L.C.M=555(Ans)
Given: Product of two numbers = 20535
Known:
H.C.F * L.C.M = 20535
37 * L.C.M = 20535
L.C.M = 20535 / 37
L.C.M = 555
.
. . L.C.M = 555
H.C.F. X L.C.M. = 20535
so L.C.M. = 20535/H.C.F.
= 20535/ 37
= 555 ans
Use the fact that for any integers u and v,
u*v=H.C.F.(u,v)*L.C.M.(u,v).
[This fact is not too hard to prove once you've got the formulas for H.C.F.s and L.C.M.s in terms of prime factorizations.]
LCM = 20535/HCF
LCM = 555
you are right ... it is 555
L.C.M = 20535/37
= 555