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up vote 1 down vote Two differing kinds of solutions are actually posted right here. 1 type employs gcd calculations; the opposite utilizes prime factorization. I am going to propose a 3rd style, that's based on the key factorization solution, but is probably going being considerably quicker than prime factorization alone. It depends on several straightforward observations about prime powers -- prime quantities lifted to some integral exponent. In a nutshell, it turns out which the least widespread multiple of all figures under some variety n is equal to the solution of all maximal prime powers

From the distinctive factorization theorem, any number m could be expressed as a several of prime powers under m. If m is under n, then m is often expressed being a numerous of primary powers fewer than n.

Python lets boolean expressions with numerous equality relations inside of a method that's according to basic use in arithmetic. By way of example, the expression a < b < c tests regardless of whether a is less than b and b is lower than c.

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