In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero.
Define least common multiple. least common multiple synonyms, least common multiple pronunciation, least common multiple translation, English dictionary definition of least common multiple. n. Abbr. lcm The smallest quantity that is divisible by two or more given quantities without a remainder: 12 is the least common multiple of 2, 3, 4, and 6. Least common multiple - definition of least.
The following diagrams show how to find the Least Common Multiple (LCM): by Listing out the Multiple, by using Prime Factorization, by using Repeated Division. Scroll down the page for examples and solutions. The smallest number among the common multiples of two or more numbers is called their least common multiple (LCM). Example.
Sal finds the LCM (least common multiple) of 12 and 36, and of 12 and 18. He shows how to do that using the prime factorization method, which is a just great! Created by Sal Khan. Google Classroom Facebook Twitter. This is the currently selected item. Least common multiple: repeating factors. Least common multiple of three numbers.
Arial Calibri Office Theme LEAST COMMON MULTIPLE What is a Multiple? What is a Common Multiple? What is a Least Common Multiple? Let’s Do Another One LCM story problems Find the LCM Using the Ladder Method It’s a Party! See a movie, Get a Prize! Find the LCM Using the Ladder Method How to Recognize an LCM Story Problem Now It’s Your Turn.
What is the lowest common multiple? The lowest common multiple of two numbers is the smallest whole number which is a multiple of both. Teachers may introduce this concept to more able Year 6 children. Quick reminder: a multiple is a number that can be divided by another number a certain number of times without a remainder.
The basic definition of multiple is manifold. In math, the meaning of a multiple is the product result of one number multiplied by another number. Multiply by Multiples of 10. Multiply whole numbers with powers of 10. In the process, make sense of the patterns in number of zeroes in the product. Covers Common Core Curriculum 5.NBT.2 Play Now.
Sometimes terms in math do a pretty good job of describing the thing they name. This is the case with common multiple and least common multiple (LCM). A common multiple is a multiple that two or more numbers have in common. You can probably guess what a least common multiple is! To get more information about these terms, check out this tutorial!
The easiest way to get the least common multiple of numbers is to express them as a product of prime numbers (factorize them). If we multiply together all prime numbers used in these products in their highest power, we get the least common multiple. Example. Find the least common multiple of 6, 8, 15.