gcd(a,b) x lcm(a,b) = a x b

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It It's So Elegant! 😍 Prove gcd(a,b)*lcm(a,b)=a*b with the GCD is a Linear Combination Theorem
The GCD-LCM Product Theorem 127-2.23 The GCD-LCM Product Theorem 127-2.23
Proof : a × b = GCD(a,b) × LCM(a,b) Proof : a × b = GCD(a,b) × LCM(a,b)
GCD (a, b) and LCM (a, b) and their relation. GCD (a, b) and LCM (a, b) and their relation.
gcd (a,b) × lcm (a,b)= a.b (proof) || Number Theory gcd (a,b) × lcm (a,b)= a.b (proof) || Number Theory
a.b = gcd(a, b). lcm(a, b) a.b = gcd(a, b). lcm(a, b)
gcd(a,b)*lcm(a,b)=ab . gcd(a,b)*lcm(a,b)=ab .
How to find the greatest common divisor How to find the greatest common divisor