Which two consecutive even numbers have an LCM of 180?

Asked by Geetadevib9 | 2nd Sep, 2021, 10:55: AM

Expert Answer:

Product of two numbers = LCM x HCF
Let a and b be two consecutive numbers whose LCM is 180
Therefore, ab = LCM x HCF
Also, their HCF will be 2 as the numbers are consecutive and even.
ab = 360
Now, 18 x 20 = 360
Hence, the two number are 18 and 20.

Answered by Renu Varma | 2nd Sep, 2021, 11:10: PM