find the LCM 21z power of 7 and 63z power of 4? im not sure what im doing? help please?
LCM for 21z^& and 63z^4 is 21z^4
ty
To find the least common multiple (LCM) of two expressions, in this case 21z^7 and 63z^4, we need to factorize each expression and then find the highest powers of all the factors.
Let's start by factorizing the expressions:
21z^7 = 3 * 7 * z^7
63z^4 = 3 * 3 * 7 * z^4
Now, we identify the highest power of each factor. We have:
Factor: 3 -> power: highest power is 2
Factor: 7 -> power: highest power is 1
Factor: z -> power: highest power is 7
Factor: z -> power: highest power is 4
Next, we multiply the highest powers of all the factors:
3^2 * 7^1 * z^7 * z^4 = 9 * 7 * z^11
Therefore, the LCM of 21z^7 and 63z^4 is 9 * 7 * z^11, which simplifies to 63z^11.
So, the LCM of 21z^7 and 63z^4 is 63z^11.