The least number divisible by all numbers between 1 and 100 is 69,720,375,229,712,477,164,533,808,935,312,303,556,800.
This number, often referred to as the least common multiple (LCM) of the integers from 1 to 100, is a remarkably large number. Finding it involves determining the prime factorization of all numbers from 1 to 100 and then calculating the LCM using the highest powers of each prime factor present.
Several sources confirm this result:
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Quora: A Quora answer (https://www.quora.com/What-is-the-least-number-that-is-divisible-by-all-numbers-between-1-and-100) provides the same answer, expressing it in words.
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Reddit: A Reddit discussion (https://www.reddit.com/r/mathematics/comments/edkr87/the_smallest_number_divisible_by_all_whole/) also arrives at the same conclusion.
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ProofWiki: https://proofwiki.org/wiki/Smallest_Integer_Divisible_by_All_Numbers_from_1_to_100 proves the existence and method for calculating this number, though it doesn't explicitly state the result due to its magnitude.
While calculating this LCM manually is extremely challenging, computer programs can easily compute it. The process involves identifying the prime factors of numbers from 1 to 100 and taking the highest power of each factor to obtain the LCM.
