LCM and GCD - Math Central

HOME

Math Central

Quandaries & Queries

Question from kasirao, a teacher:

Please help me in knowing the proof for the equality,
"The product of two natural numbers is equal to their LCM and GCD"

Have you written each of the LCM and GCD as a product of primes? Then it is fairly easy to see what their product becomes, i.e., the product of the two original numbers.

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.