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# What is the least common multiple of $2,9\,and\,6$

Last updated date: 18th Mar 2023
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Hint: In this question we have found the LCM of 2, 9 and 6. The LCM is the least common multiple and it is defined as $LCM(a,b) = \dfrac{{\left| {a \cdot b} \right|}}{{\gcd (a,b)}}$ , where a, b and c are integers and $\gcd$is the greatest common divisor. We can find LCM by division method also. Here we solve by formula.

$2\,\left| \!{\underline {\, {2,\,9,\,6} \,}} \right. \\ 3\,\,\left| \!{\underline {\, {1,\,9,\,3} \,}} \right. \\ 3\,\,\left| \!{\underline {\, {1,\,3,\,1} \,}} \right. \\ \,\,\,\,\,1,\,1,\,1 \\$
$LCM = 2 \times 3 \times 3$
$\Rightarrow LCM = 18$