Question

P and Q are two consecutive numbers and P < Q.
In this context, LCM of (P, Q) is

Answer 1

Answer:

If  

p

and  

q

are distinct primes then the LCM (least common multiple) of  

p

and  

q

is  

(

p

×

q

)

. This is the smallest number divisible by both  

p

and  

q

.

If  

p

=

q

then the LCM of  

p

and  

q

is  

p

Step-by-step explanation:

Answer 2

Answer:

L.C.M. of P and Q = P × Q  

Step-by-step explanation:

P and Q are given to be consecutive numbers.

Also, P < Q

So, P can be written as P = Q - 1

Hence, P and Q are co-primes

⇒ The only common factor in P and Q is 1

And L.C.M. of two co-prime numbers is given by their product.

⇒ L.C.M. of P and Q = Product of both P and Q

                                   = P × Q