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The LCM is made up of the smallest possible number of the prime factors of the numbers.
36=2×2×3×3
56=2×2×2×x×7
LCM=2×2×2×3×3×3×7
∴n=3×3×3
2×2×2
is required, but this is accounted for in
56
3×3×3
is required, but does not appear in
36
or in
56
So the smallest value of
p is 27=3×3×3
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