2 Views

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

$\boxed{pq}$

Related Questions

Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amrita University B.Tech 2026
Apply
Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
Amity University, Noida | Law...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Great Lakes Institute of Mana...
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025
UPES Integrated LLB Admission...
Apply
Ranked #18 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS Rankings | 16 LPA Highest CTC
Jain University, Bangalore - ...
Apply
NAAC A++ Approved | Curriculum Aligned with BCI & UGC
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books