For the numbers 8 and 4, the GCD is 4. The Least Common Multiple, or LCM, of two integers is the smallest positive integer that is divisible by both numbers without leaving a remainder.
LCM 8 and 4 with Division Method
The LCM must be a number that both original numbers can divide into evenly, which solidifies 8 as the correct answer. This mathematical approach confirms that the LCM is indeed 8.
The question of what is the LCM of 8 and 4 serves as a fundamental example of this concept, often encountered when adding fractions or analyzing periodic events. The Formula Approach Another reliable method involves the relationship between the Greatest Common Divisor (GCD) and the LCM.
LCM 8 and 4 with Division Method
The multiples of 4 are 4, 8, 12, 16, and 20, extending infinitely upward. In this case, the highest power of 2 is 2³, which equals 8.
More About What is the lcm of 8 and 4
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More perspective on What is the lcm of 8 and 4 can make the topic easier to follow by connecting earlier points with a few simple takeaways.
