ANSWER
[tex]LCM= {2}^{2} \times {3}^{2} \times 5 \times 7[/tex]
EXPLANATION
The prime factorization of the two numbers are
[tex] {2}^{2} \times 3 \times 5[/tex]
and
[tex]2 \times {3}^{2} \times 7[/tex]
To find the least common multiple , we collect the factors with the powers and multiply them out.
The highest power of 2 is
[tex] {2}^{2} [/tex]
The highest power of 3 is
[tex] {3}^{2} [/tex]
The highest power of 5 is
[tex]5[/tex]
and the highest power of 7 is
[tex]7[/tex]
Therefore
[tex]LCM= {2}^{2} \times {3}^{2} \times 5 \times 7[/tex]
