Question

for each of the following pairs of numbers verify the relationship between HCF and LCM for 64,84 ​

Answer 1

Answer:

$64 = {2}^{6} \\ \\ 84 = {2}^{2} \times 3 \times 7$

LCM = 2^6 × 3 × 7

HCF = 2^2

LCM × HCF =

${2}^{6} \times 3 \times 7 \times {2}^{2}$

Product of two numbers =

$84 \times 64 = {2}^{2} \times 3 \times 7 \times {2}^{6}$

= LCM × HCF