+422 If the least common multiple of the first 130 positive integers is divided by the least common multiple of the first 125 positive integers, the quotient is?
The LCM of all numbers from 1 to 130 is the PRODUCT of all Prime numbers up 130. That is:
2 x 3 x 5 x 7...........up to 127.
The LCM of all numbers from 1 to 125 is exactly the same EXCEPT 127, since it is > 125.
Therefore, when you divide them everything cancels out EXCEPT 127, which is the QUOTIENT.
The LCM of all numbers from 1 to 130 is the PRODUCT of all Prime numbers up 130. That is:
2 x 3 x 5 x 7...........up to 127.
The LCM of all numbers from 1 to 125 is exactly the same EXCEPT 127, since it is > 125.
Therefore, when you divide them everything cancels out EXCEPT 127, which is the QUOTIENT.
