The Least Common Multiple of two numbers, often known as the LCM, is the number that is the lowest multiple of both of the numbers. In this particular scenario, we need to determine the lowest common multiple of 8 and 20.
To begin, we may determine the multiples of each integer by doing the following:
The following numbers are all multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, etc.
The numbers 20, 40, 60, 80, 100, 120, and 140 are all multiples of 20.
It is clear to see that the number 40, which is the lowest number that occurs on both lists, is the first common multiple of both the number 8 and the number 20. Because of this, the least common multiple of 8 and 20 is 40.
In order to verify that 40 is the lowest common multiple, we may divide 40 by both 8 and 20 and make sure that the resulting number is a whole number in both cases:
40 ÷ 8 = 5
40 ÷ 20 = 2
The fact that both values are whole numbers demonstrates that 40 is a multiple of both 8 and 20, and so is, in fact, the least common multiple.
In conclusion, the least common multiple of the numbers 8 and 20 is 40, and this number also happens to be the lowest number that is a multiple of both 8 and 20.