Rodriguez Wells
05/15/2024 · Primary School
Find the least common multiple (LCM) of 5 and 6.
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Step-by-step Solution
To find the least common multiple (LCM) of 5 and 6, 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 5 and 6. Since 5 is a prime number and does not divide 6, the GCD is 1.
\[
\text{GCD}(5, 6) = 1
\]
2. Now, we can calculate the LCM:
\[
\text{LCM}(5, 6) = \frac{|5 \times 6|}{\text{GCD}(5, 6)} = \frac{30}{1} = 30
\]
Thus, the least common multiple of 5 and 6 is
\[
\boxed{30}
\]
Quick Answer
The LCM of 5 and 6 is 30.
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