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Least Common Multiple

Welcome to our least common multiple category. Here you can find our articles explaining the lcm of two particular integers a and b, denoted as lcm(a,b). Also known as least common denominator, lowest common multiple and least common denominator, it is the smallest positive whole number which divides a and b with a remainder of 0. Each post will show you the calculation using three approaches in full detail: intersection of the common multiples, prime factorization and by means of the greatest common factor. What’s more, each post contains a least common multiple calculator, and explains the use as well as the commutative property of the lcm. Finally, you will be shown the associative property to calculate the least common multiple of a set of whole numbers containing more than 2 elements. Observe that using our custom search form in the sidebar is way more efficient than browsing all the category pages here.