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## Intro to Algebra/Geometry

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**Intro to Algebra/Geometry**Least Common Multiple**Multiple**The product of any number and an integer The Multiples of 2: 2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, …**Common**To say that things have something in common we mean that they share the same thing. When we say multiples are common then they have the same multiples. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, . . . Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, . . .**Least Common Multiple**The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, . . . Multiples of 4: 4, 8, 12, 16, 20, 24, 28, . . . The LCM of 3 and 4 is 12**Find the LCM**• 4 and 5 • 4 and 8 • 3 and 8**Make a Factor Tree**You can rewrite Numbers as a Product of Prime Numbers by using a Factor Tree.**Finding the LCM using the Factor Tree**• Write out the Numbers as a product of Prime Factors (ex. 18 = 2 x 3 x 3) • Use every factor that is available and use the most possible • Multiply the factors together**Use the Product of Primes to Find LCM**35: 7 x 5 45: 3 x 3 x 5 LCM: 3 x 3 x 5 x 7 = 315**Find LCM using the Product of Primes**• 6 and 8 • 7 and 24 • 33 and 4