Solution: The LCM of 126 and 43 is 5418MethodsHow to find the LCM of 126 and 43 using Prime FactorizationOne way to find the LCM of 126 and 43 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 126?What are the Factors of 43?Here is the prime factorization of 126:21×32×712^1 × 3^2 × 7^121×32×71And this is the prime factorization of 43:43143^1431When 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, 3, 7, 4321×32×71×431=54182^1 × 3^2 × 7^1 × 43^1 = 541821×32×71×431=5418Through this we see that the LCM of 126 and 43 is 5418.How to Find the LCM of 126 and 43 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 126 and 43 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, 126 and 43:What are the Multiples of 126?What are the Multiples of 43?Let’s take a look at the first 10 multiples for each of these numbers, 126 and 43:First 10 Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260First 10 Multiples of 43: 43, 86, 129, 172, 215, 258, 301, 344, 387, 430You 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 126 and 43 are 5418, 10836, 16254. Because 5418 is the smallest, it is the least common multiple.The LCM of 126 and 43 is 5418.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 42 and 145?What is the LCM of 150 and 1?What is the LCM of 38 and 104?What is the LCM of 48 and 63?What is the LCM of 140 and 23?