What Is the Lcm of 18 and 15?

The lowest common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both numbers. In other words, the LCM is the smallest number that both numbers will divide into evenly.

For example, the LCM of 10 and 15 is 30 because 30 is the smallest number that both 10 and 15 will divide into evenly.

To find the LCM of 18 and 15, we can use the prime factorization method.

First, we need to find the prime factorization of 18 and 15.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 15 is 3 x 5.

Now, we need to find the LCM of 18 and 15.

To do this, we need to find the smallest number that is evenly divisible by both 2 x 3 x 3 and 3 x 5.

The smallest number that is evenly divisible by both 2 x 3 x 3 and 3 x 5 is 45.

Thus, the LCM of 18 and 15 is 45.

In mathematics, the greatest common divisor (GCD) of two or more integers, when at least one of them is not zero, is the largest positive integer that is a divisor of both numbers. For example, the GCD of 8 and 12 is 4.

The greatest common divisor is also known as the greatest common factor (GCF), highest common factor (HCF), greatest common measure (GCM), or highest common divisor.

The greatest common divisor of two integers is the largest integer that is a divisor of both numbers. For example, the greatest common divisor of 24 and 18 is 6.

The greatest common divisor can be found using a variety of methods, including the Euclidean algorithm, the factored form of the integers, and trial and error. Additionally, some computer algebra systems (CAS) can find the greatest common divisor of two integers.

The highest common factor of 18 and 15 is 3.

There are a few ways to work out the highest common factor of two numbers. The most common way is to list the factors of each number and then see which factors they have in common.

The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 15 are 1, 3, 5, 15. The highest common factor of 18 and 15 is therefore 3.

Another way of finding the highest common factor is to use a method called prime factorization. This involves breaking the numbers down into their prime factors, which are the factors that can only be divided by 1 and themselves.

The prime factors of 18 are 2 and 9. The prime factors of 15 are 3 and 5. The highest common factor of 18 and 15 is therefore 3.

There is also a more mathematical way of finding the highest common factor, using what is called the Euclidean algorithm. This is a bit more complicated and is beyond the scope of this essay, but suffice to say that it also gives the answer 3.

So, in conclusion, the highest common factor of 18 and 15 is 3.

The smallest number that is a multiple of both 18 and 15 is 45. 45 is a multiple of 15 because it is evenly divisible by 15 (15 goes into 45 three times). 45 is a multiple of 18 because it is evenly divisible by 18 (18 goes into 45 two times and five times).

There is no largest number that is a factor of both 18 and 15. This is because the two numbers have an infinite number of factors between them. However, the greatest common factor (GCF) of 18 and 15 is 3. The GCF is the largest number that is a factor of both 18 and 15.

When trying to find the lowest common multiple (LCM) and greatest common divisor (GCD) of two numbers, it is important to understand the difference between the two. The LCM is the smallest number that is a multiple of both numbers, while the GCD is the largest number that is a divisor of both numbers. In other words, the LCM is the smallest number that the two numbers have in common, while the GCD is the largest number that the two numbers share.

To find the LCM of 18 and 15, we can start by listing the first few multiples of each number:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144 Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120

As we can see, the LCM of 18 and 15 is 90.

To find the GCD of 18 and 15, we can list the factors of each number:

Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 15: 1, 3, 5, 15

The greatest common divisor of 18 and 15 is 3.

To find the least common multiple of 18 and 15, we can start by listing the multiples of each number:

18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150

From looking at this list, we can see that the LCM of 18 and 15 is 90.

In mathematical terms, the LCM of 18 and 15 is the smallest number that is evenly divisible by both 18 and 15.

The LCM of 18 and 15 is 30.

To find the LCM of 18 and 15, we first need to find the prime factorization of each number.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 15 is 3 x 5.

To find the LCM, we need to multiply each unique prime factor the greatest number of times it occurs in either number.

2 occurs once in the prime factorization of 18, so we multiply 2 x 1 = 2.

3 occurs twice in the prime factorization of 18, so we multiply 3 x 2 = 6.

3 occurs once in the prime factorization of 15, so we multiply 3 x 1 = 3.

5 occurs once in the prime factorization of 15, so we multiply 5 x 1 = 5.

The LCM of 18 and 15 is 2 x 3 x 3 x 5 = 90.

The lowest common multiple (lcm) of 18 and 15 is 90. Real-world applications of 90 include the following:

-The length and width of a standard soccer field are each 90 yards, or 90 feet. -A sheet of standard notebook paper is usually about 22.5 inches by 30 inches, or 90 square inches. -A TV screen or computer monitor that has a 16:9 aspect ratio is usually about 90 inches wide (measured diagonally). -The atomic number of thorium is 90. -In thedegrees Fahrenheit scale, water freezes at 32 degrees and boils at 212 degrees. Between these two temperatures, there are 180 degrees. So, 90 degrees Fahrenheit is halfway between the freezing and boiling points of water.

These are just a few examples of the many real-world applications of 90.