$$\text { For all natural numbers } a \text { and } b , \operatorname { LCM } ( a , b ) \mid \operatorname { GCD } ( a , b ) \text {. }$$

Name: \[\text { For all natural numbers } a \text { and } b , \operatorname { LCM } ( a , b ) \mid \operatorname { GCD } ( a , b ) \text {. }\]
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Question

Quizplus · Accepted Answer

The correct relationship is the opposite: $\operatorname{GCD}(a, b) \mid \operatorname{LCM}(a, b)$. The greatest common divisor (GCD) of any two numbers divides their least common multiple (LCM), not the other way around.

For all natural numbers a and b,LCM⁡(a,b)∣GCD⁡(a,b). \text { For all natural numbers } a \text { and } b , \operatorname { LCM } ( a , b ) \mid \operatorname { GCD } ( a , b ) \text {. } For all natural numbers a and b,LCM(a,b)∣GCD(a,b).

$\text { For all natural numbers } a \text { and } b , \operatorname { LCM } ( a , b ) \mid \operatorname { GCD } ( a , b ) \text {. }$