###### Asked in Factoring and Multiples

Factoring and Multiples

# How can you determine whether the LCM of two numbers is less than the product of the numbers?

## Answer

###### Wiki User

###### August 16, 2015 1:36AM

If they have common factors other than one.

## Related Questions

###### Asked in Numbers

### Can the product of two numbers be less than either of the numbers?

If one of the numbers is negative, but the other is positive,
then the product is negative - and therefore smaller than both
numbers in the question. For example, 2 x -4 = -8.
=====================================
Another contributor added:
Also, whenever the absolute magnitude of both factors is less
than ' 1 ',
the absolute magnitude of the product is less than either
factor.

###### Asked in Math and Arithmetic

### What two numbers multiply to get 30 and add to get 1?

There is no pair of numbers whose product is 30 and whose sum is
1.
-In order for the product to be 30, both numbers must be
positive or both must be negative. However, since the sum is
positive 1, both numbers must be positive.
-In order for the sum to be 1, both numbers must be less than 1.
This is proven by a+b=1, where a=1-b and b=1-a. However, if both
numbers are less than 1, then the product of the numbers must be
less than one. This means that the product cannot equal 30
Therefore, it is not possible for a pair of numbers to have a
product of 30 and a sum of 1.