The correct option is
A 48
Multiples of 16 = 16, 32, 48, 64, 80, 96...
Multiple of 24 = 24, 48, 72, 96,...
Here the common multiple is 48, 96...
But the least common multiple is 48.
Hence the LCM = 48
Alternate method:
LCM of 16 and 24 is
2×2×2×2×3 = 48