Question

The highest common factor (HCF) of two numbers is 6.

The lowest common multiple (LCM) of the same numbers is 60

What are the two numbers?
Please explain every step

Answer 1

12 and 30

Explanation:

• HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.

• LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.

so they could be 2×2×3 = 12 and 2×3×5 = 30