If LCM and HCF of two numbers are equal and the product of two numbers is…
2024
If LCM and HCF of two numbers are equal and the product of two numbers is 2916, find their LCM.
- A.
54
- B.
56
- C.
64
- D.
66
Attempted by 111 students.
Show answer & explanation
Correct answer: A
Answer: the LCM is 54
Explanation:
Key formula: LCM × HCF = product of the two numbers.
Given that LCM = HCF, call this common value L. Then L × L = 2916, so L^2 = 2916.
Solve: L = √2916 = 54. Check: 54 × 54 = 2916, which matches the product.