I want to understand intuitively why LCM(a,b)=ab/GCF(a,b)

Juwane

I want an intuitive understanding of why the lowest common multiple of two numbers is equal to the two numbers multiplied together, divided by the greatest common factor of the two numbers, i.e.,

LCM(a,b)=(a*b)/GCF(a,b)

I wish to know how this formula gives us the LCM of the two numbers.

Juwane	I want to understand intuitively why LCM(a,b)=ab/GCF(a,b) I want an intuitive understanding of why the lowest common multiple of two numbers is equal to the two numbers multiplied together, divided by the greatest common factor of the two numbers, i.e., LCM(a,b)=(a*b)/GCF(a,b) I wish to know how this formula gives us the LCM of the two numbers.