Question 92
Let $M$ be the least common multiple of all the integers $10$ through $30$, inclusive. Let $N$ be the least common multiple of $32$, $33$, $34$, $35$, $36$, $37$, $38$, $39$, and $40$. What is the value of $\frac{N}{M}$?
Original source choices:
- **(A)** $1$
- **(B)** $2$
- **(C)** $37$
- **(D)** $74$
- **(E)** $2886$
Editorial note: none of the original choices matches the stated data. Answer this as a numerical question; the original intervals have not been changed.
Original source choices:
- **(A)** $1$
- **(B)** $2$
- **(C)** $37$
- **(D)** $74$
- **(E)** $2886$
Editorial note: none of the original choices matches the stated data. Answer this as a numerical question; the original intervals have not been changed.