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If a and B Are Relatively Prime Numbers, Then What is Their Lcm? - Mathematics

True or False

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

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Solution

It is given that a and b are two relatively prime numbers; we have to find their LCM.

We know that two numbers are relatively prime if they don’t have any common divisor.

Also, the factors of any prime number are 1 and the prime number itself.

For example, let a = 7 and b = 20

Thus, the factors are as follows
a = 7 × 1

And
b = 22 × 5 × 1

Now, the LCM of 7 and 20 is 140.

Thus the HCF of a and b is ab.

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Q 31 | Page 58
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