10 x 5
A common multiple of ten and five isThirty. In mathematics, the Least Common Multiple (LCM) of two numbers is a number that is a multiple of both numbers and is also divisible by their greatest common divisor (GCD). To find the LCM of 10 and 5, we can use the formula:
LCM(10, 5) = (10 × 5) / GCD(10, 5)
Since 10 and 5 are both even numbers, their GCD is 10. Substituting this value into the formula, we get:
LCM(10, 5) = (10 × 5) / 10
Now, we can compute the product inside the brackets first:
10 × 5 = 50
After dividing 50 by 10, we find that the LCM is:
LCM(10, 5) = 50 / 10
LCM(10, 5) = 5
Therefore, the least common multiple of 10 and 5 is 5. This means that 5 is a multiple of both 10 and 5, and it is the smallest number that can be divided by both 10 and 5 without leaving a remainder. The concept of LCM plays a crucial role in various fields of mathematics, including number theory, algebra, and geometry.
