But if the intended meaning is divisible by **each** individually, then the lcm is still 1001.

Mon, 04 May 2026 18:14:48 +0000

Understanding the Least Common Multiple (LCM): Why It Stays 1001 Even When Divisible Individually by Each Factor When exploring number theory, one question that often arises is: What is the least common multiple (LCM) of a set of numbers, especially when each number divides the LCM individually? A surprising but fundamental truth is: if a number is divisible by each of a set of values individually, the LCM of that set is still determined by their multiplicative structure—even if each factor divides the LCM. In a compelling example, consider the number 1001 and examine its LCM with specific divisors. ### What Is the Least Common Multiple (LCM)? The least common multiple of two or more integers is the smallest positive integer that all of them divide evenly. For multiple numbers, the LCM is computed by taking the highest power of every prime factor present across all numbers. It reflects their collective divisibility requirements, not just individual divisibility points.