What is the least common multiple of 7 and $$ 2 ? $$ Submit

Question

UpStudy AI · Accepted Answer

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.

For the numbers 7 and 2:

1. **Calculate the GCD of 7 and 2**: Since 7 is a prime number and does not divide 2, the GCD is 1.

2. **Calculate the LCM**:
   $$
   \text{LCM}(7, 2) = \frac{|7 \times 2|}{\text{GCD}(7, 2)} = \frac{14}{1} = 14
   $$

Thus, the least common multiple of 7 and 2 is $$ \boxed{14} $$.
The LCM of 7 and 2 is 14.

What is the least common multiple of 7 and
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