What is the least common multiple of 6 and 9?

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Answer 1 · 2016-04-20T17:02:45

The least common multiple of $6$ $6$ and $9$ $9$ is $18$ $color(green)(18)$

Expressed as the product of prime factors $6 = 2 \times 3$ $6=2 xx 3$ .
Expressed as the product of prime factors $9 = 3 \times 3$ $9=3xx3$

Any multiple of $6$ $6$ and $9$ $9$ must contain as the product of prime factors at least one $2$ $2$ and two $3$ $3$ 's.

The least common multiple of $6$ $6$ and $9$ $9$ would be $2 \times 3 \times 3 = 18$ $2xx3xx3=18$

...but any integer multiple of $18$ $18$ would also be a common multiple of $6$ $6$ and $9$ $9$