Question

1. find the lcm for each pair of numbers.

a. 12 and 36
b. 4 and 8

Explanation:

Step1: Prime factorize 12 and 36

$12 = 2^2 \times 3$
$36 = 2^2 \times 3^2$

Step2: Take max exponents for LCM

$\text{LCM}(12,36) = 2^2 \times 3^2 = 36$

Step3: Prime factorize 4 and 8

$4 = 2^2$
$8 = 2^3$

Step4: Take max exponents for LCM

$\text{LCM}(4,8) = 2^3 = 8$

Answer:

a. 36
b. 8