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Greatest common divisor and least common multiple: building blocks

The intuition behind gcd and lcm, from the perspective of factorizations. For aspiring mathematicians already familiar with prime numbers as the building blocks of integers. Learn the intuition, the definitions, and gain some practice. This video is appropriate for high school, for an introduction to proof course, for undergraduate mathematics majors, or for the mathematically inclined, especially those interested in cryptography or number theory.