Class 10 th math Q. if p and q are two distinct prime numbers then Lcm (p,q) ?
Answer (1)
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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