Question

The product of two co-prime numbers is 117. What is their L.C.M?
A.39
B.3
C.117
D.1

Answer 1

Hint: The H.C.F (Highest Common Factor) defines the greatest factor present in between given two or more numbers.
The L.C.M (Least Common Multiple) defines the least number which is exactly divisible by two or more numbers.
There is a formula between H.C.F and L.C.M is H.C.F X L.C.M = Product of two numbers

Complete step-by-step answer:
Given the product of two co-prime numbers =117
Co-prime numbers are those numbers who do not have any common factor common in between and
hence, the H.C.F (highest common factor) of the two numbers will be 1.
Also, we know that:
H.C.F X L.C.M = Product of two numbers
1 x L.C.M= 117
\[ \Rightarrow L.C.M = 117\].
Option (C) is correct.
The two coprime numbers are13 and 9.

Note: Some properties of co-prime numbers:
A.1 is coprime with every number.
B.Any two prime numbers are co-prime to each other.
C.Any two successive integers and numbers will be coprime to each other.
D.Two even numbers cannot form coprime pairs as they have 2 as a common factor between them.