Given below are two statements
Statement I: If two numbers divided by a third number give the same remainder, their difference is exactly divisible by that number.
Statement II: Least common multiple of two or more given numbers is the largest number which is exactly divisible by each of them.
In light of the above statements, choose the correct answer from the options given below
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement l is false but Statement II is true