The least common multiple of 2, 3, and 5 is 30, a simple yet powerful result that appears everywhere from basic arithmetic to advanced scheduling problems. In mathematics, the least common multiple (LCM) refers to the smallest positive integer that is evenly divisible by each number in a given set. When the numbers are 2, 3, and 5—all of which are prime—the process of finding their LCM becomes an excellent introduction to prime factorization, divisibility rules, and the relationship between multiplication and common multiples. Whether you are a student preparing for a math exam, a teacher designing a lesson plan, or a curious learner exploring number theory, understanding how to derive the LCM of 2, 3, and 5 builds a strong foundation for working with fractions, ratios, and real-world patterns.
What Is the Least Common Multiple of 2, 3, and 5?
The least common multiple of 2, 3, and 5 is the smallest number that appears in the multiplication tables of all three values. Because 2, 3, and 5 are prime numbers, they share no common
