Let's find the LCM of 30 and One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs. After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers.
Module 2: The Language of Algebra. Search for:. Finding the Least Common Multiple of Two Numbers Learning Outcomes Find the least common multiple of two numbers by listing multiples Find the least common multiple of two numbers by prime factorization. Find the least common multiple LCM of two numbers by listing multiples List the first several multiples of each number. Look for multiples common to both lists. If there are no common multiples in the lists, write out additional multiples for each number.
Look for the smallest number that is common to both lists. This number is the LCM. Find the LCM using the prime factors method Find the prime factorization of each number. Write each number as a product of primes, matching primes vertically when possible. For example, enter , and not 2,, 1, The LCM a,b is calculated by finding the prime factorization of both a and b.
Use the same process for the LCM of more than 2 numbers. For example, for LCM 24, we find:. The cake method uses division to find the LCM of a set of numbers. People use the cake or ladder method as the fastest and easiest way to find the LCM because it is simple division. The cake method is the same as the ladder method, the box method, the factor box method and the grid method of shortcuts to find the LCM.
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