Question: What is the smallest three-digit number divisible by both 14 and 18?

Mon, 04 May 2026 16:51:59 +0000

**What is the smallest three-digit number divisible by both 14 and 18?**
Why is this question quietly capturing everyone’s attention in the U.S. right now? Beneath its simplicity lies a growing interest in modular arithmetic, number patterns, and practical math—driven by digital literacy, budget mindfulness, and curiosity about efficiency. As more people seek quick, precise answers online, especially on mobile devices, finding exact multiples that fit real-world thresholds becomes both useful and relevant. The answer isn’t just a calculation—it’s a window into how everyday logic meets digital tools. **Why This Question Is Trending**
In an era where precision matters, curious users—especially tech-savvy readers—often ask concrete number puzzles like: *What is the smallest three-digit number divisible by both 14 and 18?* This isn’t mere numerology; it reflects a desire to simplify planning, budgeting, or project scheduling. With rising household expenses and tighter fiscal management, knowing the smallest shared multiple helps users make smarter financial or operational decisions. Moreover, mobile-first users scanning feeds are drawn to instantly satisfying, fact-based responses—this query fits that pattern perfectly. **How to Find the Smallest Three-Digit Number Divisible by Both 14 and 18**
To identify the smallest three-digit number divisible by both 14 and 18, start by finding their least common multiple (LCM), then locate the earliest multiple that meets the three-digit threshold. - Factor both numbers:
14 = 2 × 7
18 = 2 × 3²
- LCM combines all prime factors at highest powers:
LCM = 2 × 3² × 7 = 126