LCM of 14x^3 w^2 y^6 and 2x^7 y^6
To find the least common multiple (LCM) of the two expressions, we need to factorize both expressions and then take the highest power of each factor that appears in either expression.
Factorizing 14x^3 w^2 y^6:
14x^3 w^2 y^6 = 2 * 7 * x^3 * w^2 * y^6
Factorizing 2x^7 y^6:
2x^7 y^6 = 2 * x^7 * y^6
Now, we take the highest power of each factor that appears in either expression:
- Highest power of 2 is 2.
- Highest power of 7 is 7.
- Highest power of x is x^7.
- Highest power of w is w^2.
- Highest power of y is y^6.
Therefore, the LCM of 14x^3 w^2 y^6 and 2x^7 y^6 is 14x^7 w^2 y^6.