Solution: The LCM of 70 and 56 is 280MethodsHow to find the LCM of 70 and 56 using Prime FactorizationOne way to find the LCM of 70 and 56 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 70?What are the Factors of 56?Here is the prime factorization of 70:21×51×712^1 × 5^1 × 7^121×51×71And this is the prime factorization of 56:23×712^3 × 7^123×71When 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, 5, 723×51×71=2802^3 × 5^1 × 7^1 = 28023×51×71=280Through this we see that the LCM of 70 and 56 is 280.How to Find the LCM of 70 and 56 by Listing Common MultiplesThe first step to this method of finding the Least Common Multiple of 70 and 56 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, 70 and 56:What are the Multiples of 70?What are the Multiples of 56?Let’s take a look at the first 10 multiples for each of these numbers, 70 and 56:First 10 Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700First 10 Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560You 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 70 and 56 are 280, 560, 840. Because 280 is the smallest, it is the least common multiple.The LCM of 70 and 56 is 280.Find the LCM of Other Number PairsWant more practice? Try some of these other LCM problems:What is the LCM of 128 and 146?What is the LCM of 16 and 39?What is the LCM of 42 and 21?What is the LCM of 47 and 85?What is the LCM of 37 and 82?