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

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Question

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

Sum
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Solution

If two numbers are relatively prime then their greatest common factor will be 1.

∴ HCF (a, b) = 1

Using the formula, Product of two numbers = HCF × LCM

We conclude that,

a × b = 1 × LCM

∴ LCM = ab

Thus, LCM (a, b) is ab.

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Chapter 1: Real Numbers - EXERCISE 1E [Page 38]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1E | Q 16. | Page 38
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