Question

The L.C.M of any two consecutive numbers is their______________

Answer 1

Hint: According to given in the question we have to the L.C.M of any two consecutive numbers is their_________ So, first of all we have to understand about the consecutive numbers which is explained below:
Consecutive numbers: Consecutive numbers are the numbers that follow each other continuously in the order from smallest to the largest and are called the consecutive numbers.
To determine we have to take two consecutive numbers and then we have to find the L.C.M of that number.

Complete step-by-step answer:
Step 1: First of all we have to let that the two consecutive numbers are $2,3$
Step 2: Now, as mentioned in the solution hint we have to determine the L.C.M of that two numbers as we let in the solution step 1,
Hence the L.C.M of $2$and $3$is 6
Step 3: Now, we have to multiply the consecutive numbers as we let in the solution step 1, hence,
$ \Rightarrow 2 \times 3 = 6$
Which is equal to the L.C.M of the two consecutive numbers we let.

Hence, The L.C.M of any two consecutive numbers is their product.

Note: The way or method to find the least common factor or we can say L.C.M is to first we have to list the prime factors starting with 2 and so on. Then we have to multiply each factor the greatest number of times it occurs in either number.