If a and b are relatively prime numbers, then what is their LCM?
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
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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- Euclid’s Division Lemma