Users!! you will learn here what is the least common multiple of 6 and 9. And before it you have learn the least common multiple (LCM) of two or more numbers. So the least common multiple (LCM) of two or more numbers is the smallest positive integer that is divisible by all of them. In other words, it is the smallest number that can be divided evenly by all of the given numbers. The LCM of 6 and 9 is the smallest number that is divisible by both 6 and 9. It is the smallest common multiple of the two numbers, which in this case is 18.
What is The Least Common Multiple Of 6 and 9
- List the multiples of each number:
- Multiples of 6: 6, 12, 18, 24, 30, 36, …
- Multiples of 9: 9, 18, 27, 36, 45, 54, …
- Find the smallest multiple that appears in both lists:
- 18 is the smallest multiple that appears in both lists.
- Therefore, the LCM of 6 and 9 is 18.
The LCM of two numbers has various uses, including:
- Simplifying fraction operations: The LCM can be used to find a common denominator when adding or subtracting fractions.
- Solving problems in arithmetic and number theory: The LCM can be used to determine the length of a repeating pattern or cycle in a set of numbers.
- Understanding divisibility and factorization: The LCM is a measure of the “least common multiple” of two numbers, and therefore provides information about their divisibility and factorization.
- Solving problems in physics and engineering: The LCM can be used to determine the smallest time interval that satisfies multiple constraints in physics and engineering problems.
In the case of 6 and 9, the LCM of 18 has no specific use. But it can be useful as an example to demonstrate the concept of LCM.
The purpose of the LCM of two numbers is to find the smallest number that is divisible by both of them. The LCM is used in various fields of mathematics. Such as arithmetic, number theory, and fraction operations, to simplify calculations and solve problems. In a broader sense, the LCM can provide insights into the divisibility and factorization of numbers. That can be applied in various real-world scenarios, such as physics and engineering problems.
LCM of 6 and 9 with Examples
Other examples of LCM include:
- LCM of 12 and 16 is 48
- The LCM of 15 and 20 is 60
- LCM of 4 and 5 is 20
- The LCM of 18 and 24 is 72
Note: The LCM can be found using various methods. Such as listing multiples, using prime factorization, or using the formula LCM(a,b) = (a * b) / GCD(a,b), where GCD is the greatest common divisor of two numbers.