# least common multiple

• December 14th 2006, 12:34 PM
least common multiple
The LCM of two numbers is 24. Their GCF is 4. The numbers differ by 4. What are the numbers?
• December 14th 2006, 12:50 PM
Namis9
Quote:

The LCM of two numbers is 24. Their GCF is 4. The numbers differ by 4. What are the numbers?

Total Numbers = 3
LCM = 24
HCF/GCD = 4

Their numbers are 4, 8, and 12.
• December 14th 2006, 12:58 PM
ThePerfectHacker
Quote:

The LCM of two numbers is 24. Their GCF is 4. The numbers differ by 4. What are the numbers?

For $x,y>0$
We have,
$\gcd(x,y)\cdot \mbox{lcm}(x,y)=xy$
Thus,
$xy=4\cdot 24=96$
Und,
$x-y=4$
Now you can solve.