Question

what is the least common multiple of 6 and 16?
lcm(6,16) = square

Explanation:

Step1: Prime factorize 6

$6 = 2^1 \times 3^1$

Step2: Prime factorize 16

$16 = 2^4$

Step3: Take max exponents of primes

For prime 2: $\max(1,4)=4$; For prime 3: $\max(1,0)=1$

Step4: Calculate LCM

$\text{lcm}(6,16) = 2^4 \times 3^1$

Answer:

48