find the lcm of 21y1 and 63y5

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find the lcm of 21y1 and 63y5

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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what is 21y1 is that\[21y \]and\[63y ^{5}\]
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You say 21y by 1, 21y by 2, and on, writing them down. Do the same for 63y^5. Write it down. When you see the same number appear from both lines, that is your number.

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It's the case that,\[lcm (a,b)=\frac{a.b}{\gcd(a,b)}\]Now, the greatest common divisor of 21y and 63y^5 is the greatest factor shared between 21y and 63y^5 that divides them. You can use the Euclidean algorithm for more complex case, but here, you can see that 21y divides both 21y and 63y^5. Since 21y is the highest factor of 21y (e.g. like 8 is the highest factor of 8), there are no higher common factors, so \[\gcd(21y,63y^5)=21y\]So you have\[lcm(21y,63y^5)=\frac{21y.63y^5}{21y}=63y^5\]

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