If a and b are relatively prime numbers, then what is their LCM?

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a - b

a \times b

a + b

\frac{a}{b}

answer is B.

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Detailed Solution

We have to find the LCM of a and b, if a and b are relatively prime numbers.
Since a and b are relatively prime numbers, a and b have only 1 as their common factor. that is,

HCF (a, b) = 1

……. (1)
Apply the property of LCM, HCF and product of the numbers and substitute the value of HCF from (1):

LCM (a, b) \times HCF (a, b) = a \times b

\Rightarrow LCM (a, b) \times 1 = a \times b

\Rightarrow LCM (a, b) = a \times b

Therefore, LCM of a and b is

a \times b

.
Hence, option 2 is correct.

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