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Class 10 th math Q. if p and q are two distinct prime numbers then Lcm (p,q) ?


souarav kumar bairwa 29th May, 2025
Answer (1)
Afreen 30th Jun, 2025

Step-by-Step Solution

To find the LCM (Least Common Multiple) of two distinct prime numbers $p$ and $q$, we can use the property that the LCM of two prime numbers is their product.


LCM Formula

For two distinct prime numbers $p$ and $q$:

$$\text{LCM}(p, q) = p \times q$$

Why This Works

- Prime numbers have no common factors other than 1.

- The LCM is the smallest number that both $p$ and $q$ can divide into evenly.

- Since $p$ and $q$ are distinct primes, their product $p \times q$ is the smallest number that satisfies this condition.


Final Answer

$\boxed{pq}$

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