Find the least common multiple of the two expressions?

Question

Thanks for your help.. Can you please help with the following question.

4t to 9th pwr, y to 3rd pwr and 6t to 5th pwr u to 3rd pwr y to 5 pwr

Answer 1

4t^9, y^3, 6t^5, u^3, y^5

The lowest common multiple will be the smallest value you can get using all of them. What you would do is obtain the highest power for each variable (t^9, y^5, u^3) and the lowest common multiple of the numbers (which are in this case 4 and 6, and the LCM of 4 and 6 is 12). And then we multiply them together to get

12 t^9 y^5 u^3

Answer 2

Are the expressions: 4t^9y^3 and 6t^5u^3y^5?

For those expressions:

Look at numerical coefficients first...for 4 and 6 the LCM is 12
for the powers of t it is t^9, for u it is u^3, and for y it is y^5

Therefore the LCM is 12t^9u^3y^5.