To use the lowest common denominator (LCD), you need to factor each of the numbers. Then you need to see what's common.
3: 1 and 3
4: 2 and 2
Here there's nothing in common, so our common denominator has all the factors - 1, 3, 2, 2. 1 x 3 x 2 x 2 = 12.
3/4 would be 9/12 as we multiply both parts of the fraction by. We get from 4 to 12 by multiplying by 3.
1/3 would be 4/12 as we multiply both parts by 4.
Thus,
3/4 - 1/3 = 9/12 - 4/12 = 5/12