PROBLEM 1-9-5

What is the smallest natural number that is divisible by each of the first ten natural numbers?

 

SOLUTION 1-9-5


The least common multiple of the first 10 natural numbers is the least natural number divisible by all the numbers. The least common multiple is 2^3 x 3^2 x 5 x 7, or 2520.

(Note: ^ = to the power of)