Tucker Logan
07/21/2023 · Senior High School

Find the least common multiple of 8 and 11.

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To find the least common multiple (LCM) of two numbers, we can use the formula: \[ \text{LCM}(a, b) = \frac{|a \times b|}{\text{GCD}(a, b)} \] where GCD is the greatest common divisor. 1. First, we find the GCD of 8 and 11. Since 8 and 11 have no common factors other than 1, we have: \[ \text{GCD}(8, 11) = 1 \] 2. Now, we can use the LCM formula: \[ \text{LCM}(8, 11) = \frac{|8 \times 11|}{\text{GCD}(8, 11)} = \frac{8 \times 11}{1} = 88 \] Thus, the least common multiple of 8 and 11 is: \[ \boxed{88} \]

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The LCM of 8 and 11 is 88.
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