The L.C.M. of any two consecutive positive integers x and x + 1 is:

Correct option is B

Given:

Given numbers are x and (x + 1)

Formula used:

Co-prime numbers are a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.

LCM is the smallest common multiple of two or more numbers.

Solution:

Two consecutive positive integers are always co-primes. 

Hence, their LCM should be their product only.

Thus, LCM (x, x + 1) = x(x + 1)

Thus, L.C.M. of any two consecutive positive integers x and x + 1 is (x) (x + 1).