Hence find the LCm and gcd of 48 and 60

For the GCD, we take the lowest power of each common prime factor.
The common prime factors are 2 and 3.
The lowest power of 2 is $2^2$.
The lowest power of 3 is $3^1$.

$$GCD(48, 60) = 2^2 \times 3^1 = 4 \times 3 = 12$$

For the LCM, we take the highest power of all prime factors present in either number.
The highest power of 2 is $2^4$.
The highest power of 3 is $3^1$.
The highest power of 5 is $5^1$.

$$LCM(48, 60) = 2^4 \times 3^1 \times 5^1 = 16 \times 3 \times 5 = 240$$

The GCD of 48 and 60 is $\boxed{12}$ and the LCM is $\boxed{240}$.