Let and .
Compute GCF and LCM.
Make an argument for how you can use the prime factorizations of two numbers to
find the LCM and GCF of those numbers.
In the following problems, you are given three pieces of information. In each case,
use the given information to find the value of .
2025-08-13 00:44:42 - (a)
- \begin{align*} \text{GCF}(a,b) &= 2 \times 3,\\ \text{LCM}(a,b) &= 2^2 \times 3^3 \times 5,\\ \text{and } b &= 2^2 \times 3 \times 5. \end{align*}
- (b)
- \begin{align*} \text{GCF}(a,b) &= 2^2 \times 7 \times 11,\\ \text{LCM}(a,b) &= 2^5 \times 3^2 \times 5 \times 7^3 \times 11^2,\\ \text{and } b &= 2^5 \times 3^2 \times 5 \times 7 \times 11. \end{align*}