if the gcd of two numbers is 1 then their LCM is equal to their.
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If GCD of two numbers is 1 then LCM is equal to the product of those two numbers.
Step-by-step explanation:
Co-prime numbers:
- The two numbers whose highest common factor is 1 then those numbers are called co-prime numbers.
- Co-prime numbers are a collection of integers or numbers with only 1 as their highest common factor (HCF) or Greatest common divisor(GCD).
- Relatively prime or mutually prime numbers are other names for co-prime numbers. In order to create co-prime numbers, two numbers are required.
HCF and LCM of Co-Prime numbers:
- Since the HCF of two Co-Prime numbers = 1 and
- LCM of two Co-Prime numbers (m,n) = Product of two numbers (m,n).
Given G.C.D of two numbers = 1
Let the two numbers be x and y.
If GCD of x and y = 1 then LCM = product of x and y.
So, if GCD(x,y) = 1 then LCM(x,y) = xy
Know more about Greatest common divisor:
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