// FACTOR BREAKDOWN
81 = 3 x 3 x 3 x 3
27 = 3 x 3 x 3
a^3 = a x a x a
a^2 = a x a
b^3 = b x b x b
b^2 = b x b
/* For LCM, we want to consider the most number of times any digit or variable appears in the factorization. Comparing 81 and 27, we see that the number three shows up four times in the factorization, so the LCM of these two numbers is 81. Alternatively, you can see that 27 can go into 81 three times.
For variables, it's the same concept. We have three a's appear so that is our most number of times we see a.
Same logic for the variable b. */
//FINAL ANSWER
81a^3b^3
LCM of 81a^2b^2 and 27a^3b^3
2 answers
Ok thank you so much for your time! I got a bit confused on the multiplying of LCM but now I understand.