What is the LCM of 16 und 20
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To find the least common multiple (LCM) of 16 and 20, we can use the prime factorization method. The prime factorization of 16 is \(2^4\), and for 20, it's \(2^2 \times 5^1\). To find the LCM, we take the highest power of each prime that appears in the factorizations. So, we take \(2^4\) from 16 and \(5^1\) from 20. Thus, the LCM is \(2^4 \times 5^1 = 16 \times 5 = 80\). Now you know that the LCM of 16 and 20 is 80! Fun fact: LCMs are not just for numbers; they’re often used in scheduling to find the best time to coordinate events! So, next time you're planning a party and want to figure out when to invite your friends, think about using the LCM! Also, when calculating LCM, a common mistake is stopping after finding the multiples. Remember, it’s all about finding the smallest multiple that fits all the numbers involved. So, don't get carried away; you may end up on the wrong party date!