Question

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

Answer 1

Hint: Two numbers are said to be relatively prime numbers only if the positive integer that divides both of them is 1 only (number 1)

Complete step-by-step answer:
It is already mentioned that two numbers are relatively prime numbers.
Since there is no common divisor for them except 1.
So their LCM will be their product only.
So LCM of a and b is \[a \times b\]

Note: 1.Prime numbers are the numbers that are divisible by 1 and itself.
Ex. 2,5,11,31 etc.
2.Relatively prime numbers are those that have only one positive integer that divides both of them is 1.
3.They are also called mutually prime or co-prime numbers.
For ex. Numbers 4 and 9 are relatively prime numbers. Because they are having 1 only as their common divisor.
But 15 and 21 are not relatively prime numbers. Because they have 1 as well as 3 as their common divisor.
Here LCM of 4 and 9 is 36, and it is their product only.
And it should be noted that 1 is the HCF of these numbers.
Relatively prime numbers need not to be prime only, it can be a pair of composite numbers also.