ext{lcm}(18, 30) = 2 imes 3^2 imes 5 = 90.

Sun, 03 May 2026 05:20:27 +0000

Understanding LCM(18, 30) = 2 × 3² × 5 = 90: A Detailed Explanation When working with least common multiples (LCM), understanding the prime factorization of numbers is key to unlocking efficient and accurate calculations. One classic example is finding LCM(18, 30), which simplifies elegantly to 2 × 3² × 5 = 90. Let’s break down exactly how and why this works. ### What is the Least Common Multiple (LCM)?
The LCM of two or more integers is the smallest positive integer that is divisible by each of the numbers. For example, the LCM of 18 and 30 must be a multiple of both, and no smaller positive number satisfies this. ### Prime Factorization of 18 and 30
To compute the LCM, start by expressing each number as a product of its prime factors: