What is the lcm of 14 and 21?

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Answer # 1 #

The LCM (Least Common Multiple) of 14 and 21 is 42.Here's a simple way to find it:1. List the prime factors of each number: * 14 = 2 x 7 * 21 = 3 x 72. For the LCM, take the highest power of each prime factor that appears in either number. * Prime factor 2: appears in 14 (2¹) * Prime factor 3: appears in 21 (3¹) * Prime factor 7: appears in both (7¹)3. Multiply them together: 2 x 3 x 7 = 42.So, 42 is the smallest number that both 14 and 21 can divide into without leaving a remainder.

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Answer # 2 #

You can also find the LCM by listing the multiples of each number until you find a common one. Multiples of 14: 14, 28, 42, 56, 70... Multiples of 21: 21, 42, 63, 84...As you can see, the first common multiple that appears in both lists is 42. Therefore, the LCM of 14 and 21 is 42. This method is straightforward for smaller numbers.

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