The least common multiple (LCM) of 4 and 7 is 28.
To find the LCM, you can use the method of listing the multiples of each number. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, and so on. The multiples of 7 are 7, 14, 21, 28, 35, and so on. The smallest multiple that appears in both lists is 28, making it the least common multiple.
Another way to find the LCM is by using the formula:
LCM(a, b) = (a * b) / GCD(a, b)
In this case, the greatest common divisor (GCD) of 4 and 7 is 1, since they have no common factors other than 1. So, using the formula:
LCM(4, 7) = (4 * 7) / 1 = 28.
This confirms that the least common multiple of 4 and 7 is indeed 28.