LCM of 20u y^3 and 12u^2 y^5 w^6
To find the least common multiple (LCM) of two terms, we need to find the highest power of each variable that appears in either term.
The first term is 20u y^3. The prime factors of 20 are 2, 2, and 5. So, the prime factorization of 20u y^3 is 2^2 * 5 * u * y^3.
The second term is 12u^2 y^5 w^6. The prime factors of 12 are 2, 2, and 3. So, the prime factorization of 12u^2 y^5 w^6 is 2^2 * 3 * u^2 * y^5 * w^6.
Now, we take the highest power of each prime factor that appears in either term.
2^2 * 3 * 5 * u^2 * y^5 * w^6
Multiply these terms together to get the LCM:
= 60u^2 y^5 w^6
Therefore, the LCM of 20u y^3 and 12u^2 y^5 w^6 is 60u^2 y^5 w^6.