Q: Can the LCM of a pair of numbers ever be less than both numbers?

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Not at all. For example: gcf(101, 102) = 1 gcf(40, 80) = 40

No. Although the greatest common denominator of a pair of numbers is infinite, the size of the numbers doesn't affect the GCF as much as the difference between them. The GCF of 100 and 102 is 2. The GCf of 33 and 66 is 33.

No; both are multiples of other numbers, including 3.

Those are both 'complex' numbers. Together, they are a pair of complex conjugates.

Depending on what numbers are you picking from: {Integers, Whole Numbers, Natural numbers, All real numbers} will affect the probability.

Related questions

No.

No.

No.

No. The LCM of 4 and 6 is 12.

The LCM is never less than the greatest number in the set. The LCM of 4 and 9 is 36.

The LCM for any pair of natural numbers can be as big as their product.

No. At most, it can be equal to the smaller number.

A number can't have a factor greater than itself, so the GCF of a pair of numbers can't ever be greater than the smaller number. The GCF of 9 and 18 is 9.

No, it's never greater than the smallest number.

31

Not at all. For example: gcf(101, 102) = 1 gcf(40, 80) = 40

No, it's never greater than the smallest number.