What is the least common multiple of 24 and 9?

Answer 1

Find the greatest common divisor

(Using the Euclidean Algorythm)

24 = 9*2 + 6

9 = 6*1 + 3

6 = 3*2

gcd (24,9) = 3

least common multiple = (a*b)/gcd(a,b)

LCM = 216/3 = 72

Answer 2

The least common multiple of 9 and 24 is 72. To find the LCM, List the multiples of each (starting with 1x) and find the smallest number that appears in both lists:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, ...

24: 24, 48, 72, 96, 120, 144, 166, ...

The common multiples (numbers in both lists) are: 72, 144, ...

So the LCM is the lowest number in this list: 72.