How is the number of LPs obtained from creating a liquidity pool calculated?

When you are the first person to create a pool for a trading pair (e.g., ETH/USDC), the protocol needs to set an initial “anchor ratio.” At this point, the calculation rule for the number of LPs is very simple:

The number of LPs you receive = the geometric mean of the amounts of the two assets you deposited

The formula is:
LP_Received = √(x * y)

x: The amount of the first asset you deposited (e.g., 10 ETH).
y: The amount of the second asset you deposited (e.g., 20,000 USDC).
LP_Received: The number of LP tokens you will receive.

Example:
Suppose you are the first to add liquidity to the ETH/USDC pool, depositing x = 10 ETH and y = 20,000 USDC.
Then, the number of LPs you receive = √(10 * 20,000) = √(200,000) ≈ 447.21 LP tokens.