Answer:
HCF = 12
LCM = 252
Step-by-step explanation:
prime numbers: 2, 3, 5, 7, 11, 13, 17 etc.
<u>Prime factorization of 36</u>
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
⇒ 36 = 2 x 2 x 3 x 3 = 12 x 3
<u>Prime factorization of 84</u>
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 3 = 7
⇒ 84 = 2 x 2 x 3 x 7 = 12 x 7
Therefore, highest common factor = 2 x 2 x 3 = 12
<u>Multiples of 36 using prime numbers</u>
36 x 2 = 72
36 x 3 = 108
36 x 5 = 180
36 x 7 = 252
<u>Multiples of 84 using prime numbers</u>
84 x 2 = 168
84 x 3 = 252
Therefore, lowest common multiple = 252