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?

APatel Jan 11, 2019

#1**+2 **

**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.**

Guest Jan 12, 2019

edited by
Guest
Jan 12, 2019

#1**+2 **

Best Answer

**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.**

Guest Jan 12, 2019

edited by
Guest
Jan 12, 2019