What is the least common multiple of 9, 18 , and 21?

1 Answer
Apr 7, 2016

We first factor each of them into primes:

Explanation:

9=3xx3
18=2xx3xx3
21=3xx7

Now we take all prime factors to their highest degree that we find in the numbers, so we have one 2, two 3's and one 7:

Answer:
2xx3xx3xx7=126

Check :
126div9=14=2xx7
126div18=7
126div21=6=2xx3
And there is no common factor between the three of them.