The Lowest Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. It is used in mathematics to find the common denominator of fractions and to simplify calculations. It is also used in solving word problems and in finding the greatest common divisor (GCD). The LCM of 8 and 12 is 24.

What is a Multiple?

A multiple is an integer that is a product of two or more numbers. It is the result of multiplying two or more numbers together. For example, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, and so on. Every positive integer is a multiple of itself.

What is the Lowest Common Multiple?

The Lowest Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. For example, the LCM of 4 and 6 is 12 because 12 is the smallest number that is a multiple of both 4 and 6. The LCM of 8 and 12 is 24. This means that 24 is the smallest number that is a multiple of both 8 and 12.

What is the Greatest Common Divisor (GCD)?

The Greatest Common Divisor (GCD) of two numbers is the largest number that divides both numbers without a remainder. For example, the GCD of 4 and 6 is 2 because 2 is the largest number that divides both 4 and 6 without a remainder. The GCD of 8 and 12 is 4, because 4 is the largest number that divides both 8 and 12 without a remainder.

How do you Find the Lowest Common Multiple?

Finding the Lowest Common Multiple (LCM) of two numbers is simple. The first step is to list the multiples of each number. For example, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, and so on. The multiples of 6 are 6, 12, 18, 24, 30, and so on. Then, you can find the smallest number that is a multiple of both 4 and 6, which is 12. This is the LCM of 4 and 6.

How is the Lowest Common Multiple Used?

The Lowest Common Multiple (LCM) of two numbers is used in mathematics to find the common denominator of fractions and to simplify calculations. It is also used in solving word problems and in finding the greatest common divisor (GCD). For example, if you have two fractions with different denominators, you can use the LCM to find the common denominator and then add or subtract the fractions.

What are Some Examples of the Lowest Common Multiple?

The LCM of 8 and 12 is 24. This means that 24 is the smallest number that is a multiple of both 8 and 12. The LCM of 4 and 6 is 12, because 12 is the smallest number that is a multiple of both 4 and 6. The LCM of 2 and 3 is 6, because 6 is the smallest number that is a multiple of both 2 and 3.

Conclusion

The Lowest Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. It is used in mathematics to find the common denominator of fractions and to simplify calculations. It is also used in solving word problems and in finding the greatest common divisor (GCD). The LCM of 8 and 12 is 24. This means that 24 is the smallest number that is a multiple of both 8 and 12.