Let a = 2⁴ · 3² · 5 and b = 2² · 3 · 7³. Which of the following is true?
Show answer & explanation
Correct answer: A
Explanation
a = 2⁴ × 3² × 5
b = 2² × 3 × 7³
To obtain the Highest common factor (HCF), the lowest power of like prime factors is taken.
HCF = 2² × 3 = 12
To obtain the least common multiple (LCM), the highest power of all the prime factors is taken.
LCM = 2⁴ × 3² × 5 × 7³