Solution: The LCM of 58 and 16 is 464MethodsHow to find the LCM of 58 and 16 using Prime FactorizationOne way to find the LCM of 58 and 16 is to start by comparing the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:What are the Factors of 58?What are the Factors of 16?Here is the prime factorization of 58:21×2912^1 × 29^121×291And this is the prime factorization of 16:242^424When you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to. In this case, there are these prime factors to consider: 2, 2924×291=4642^4 × 29^1 = 46424×291=464Through this we see that the LCM of 58 and 16 is 464.How to Find the LCM of 58 and 16 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 58 and 16 is to begin to list a few multiples for each number. If you need a refresher on how to find the multiples of these numbers, you can see the walkthroughs in the links below for each number. Let’s take a look at the multiples for each of these numbers, 58 and 16:What are the Multiples of 58?What are the Multiples of 16?Let’s take a look at the first 10 multiples for each of these numbers, 58 and 16:First 10 Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580First 10 Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160You can continue to list out the multiples of these numbers as long as needed to find a match. Once you do find a match, or several matches, the smallest of these matches would be the Least Common Multiple. For instance, the first matching multiple(s) of 58 and 16 are 464, 928, 1392. Because 464 is the smallest, it is the least common multiple.The LCM of 58 and 16 is 464.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 63 and 142?What is the LCM of 17 and 97?What is the LCM of 105 and 107?What is the LCM of 71 and 132?What is the LCM of 73 and 18?