Tucker Logan
07/21/2023 · Senior High School
Find the least common multiple of 8 and 11.
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Tutor-Verified Answer
Step-by-step Solution
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:
\[
\boxed{88}
\]
Quick Answer
The LCM of 8 and 11 is 88.
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