Question: An angel investor allocates funds to two startups with return cycles of 18 and 24 months. What is the smallest number of months after which both investments will yield returns simultaneously? - Coaching Toolbox
The Surprising Math Behind Investment Returns: When Two Startups Align
The Surprising Math Behind Investment Returns: When Two Startups Align
When early-stage venture funding hits the spotlight, investors and entrepreneurs alike frequently ask: How do returns from different startups stack up over time? A classic scenario unfolds when an angel investor puts capital into two startups with distinct performance cycles—18 months and 24 months—wondering when both will deliver returns at once. What seems like a simple timing puzzle reveals deeper insights into risk, capital efficiency, and long-term growth planning.
Why This Question Resonates in 2024 Markets
Today’s investors seek clarity in unpredictable markets. With longer runway demands and rising scrutiny on liquidity, timing alignment matters more than ever. The parallel release of returns from two startups based on different cycles reflects a growing interest in structured financial planning—especially among tech founders and angel networks aiming to project sustainable growth. People are actively researching how matching milestones can stabilize cash flow and build investor confidence in diversified portfolios.
Understanding the Context
How It Works: Finding the Common Return Point
The core of this question lies in timing mechanics. When an investment returns capital after 18 and 24 months respectively, both yield returns simultaneously only at multiples of their cycles. To find the smallest such moment, we calculate the least common multiple (LCM) of the two numbers.
The LCM of 18 and 24 maps directly to their prime factorizations:
18 = 2 × 3²
24 = 2³ × 3
LCM = 2³ × 3² = 8 × 9 = 72
So, both investments will yield returns at exactly month 72—the first time their return cycles align.
Clear, Practical Insight for Investors
This isn’t just a math problem—it reflects how investors strateg
