Question

“The LCM of two numbers is never less than any of the numbers." Explain giving
suitable examples.​

Answer 1

Answer:

LCM : Least Common Multiple

LCM is the lowest number possible that is the common multiple between the given set of numbers.

The LCM of numbers can at least be equivalent of the highest given number (given that the other number are in turn the factors of the highest number). But in any case the LCM can never be the less than the given numbers.

EX :

Let the number be 2 and 3. Then the LCM is 6 as 6 is the lowest number that is divisible by both 2 and 3. Here the LCM (6) is greater than the number involved ( 2 and 3)

Let the numbers be 2 and 4. Then the LCM is 4 as 4 is the lowest number that is divisible by 2 and 4. Here the LCM (4) is at least equivalent to the greater number (4).

Hence the LCM of given two numbers can greater than or equal to the numbers but can never be less than the numbers.