$$\text { If } \operatorname { GCD } ( a , b ) = 1 \text {, then } \operatorname { LCM } ( a , b ) = a b$$

Name: \[\text { If } \operatorname { GCD } ( a , b ) = 1 \text {, then } \operatorname { LCM } ( a , b ) = a b\]
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Quizplus · Accepted Answer

If the greatest common divisor (GCD) of $a$ and $b$ is 1, it means $a$ and $b$ are coprime (have no common prime factors). Therefore, the least common multiple (LCM) of $a$ and $b$ is indeed the product $ab$, since there are no common factors to be accounted for more than once.

If GCD⁡(a,b)=1, then LCM⁡(a,b)=ab\text { If } \operatorname { GCD } ( a , b ) = 1 \text {, then } \operatorname { LCM } ( a , b ) = a b If GCD(a,b)=1, then LCM(a,b)=ab

$\text { If } \operatorname { GCD } ( a , b ) = 1 \text {, then } \operatorname { LCM } ( a , b ) = a b$