To find the least common multiple (LCM) of two numbers, we can use the formula:
\[ \text{LCM}(a, b) = \frac{a \times b}{\text{GCD}(a, b)} \]
-
First, we find the product of the two numbers: \[ 4 \times 11 = 44 \]
-
Next, we need to find the greatest common divisor (GCD) of 4 and 11. Since 4 and 11 have no common factors (11 is a prime number), their GCD is: \[ \text{GCD}(4, 11) = 1 \]
-
Now we can calculate the LCM: \[ \text{LCM}(4, 11) = \frac{44}{1} = 44 \]
Therefore, the least common multiple of 4 and 11 is 44.
2 answers