LCM of 60 and 120

In mathematics, the LCM (Least Common Multiple) is a vital concept that is used in various mathematical operations such as fractions, algebra, and more. In this article, we will discuss how to calculate the LCM of 60 and 120, and the answer is 120.

The LCM of two numbers is the smallest positive integer that is divisible by both of the given numbers. There are different methods for finding the LCM, such as the prime factorization method, the listing multiples method, and the cake method. Here, we will use the prime factorization method.

First, we factorize 60 and 120 into their prime factors:

• 60 = 2 x 2 x 3 x 5
• 120 = 2 x 2 x 2 x 3 x 5

Next, we take the highest power of each prime factor and multiply them together:

• 2 x 2 x 2 x 3 x 5 = 120

Therefore, the LCM of 60 and 120 is 120.

It is important to note that the LCM concept is essential in mathematics, and understanding it can help you solve complex problems in different areas of mathematics. Furthermore, the LCM is used in everyday life situations such as finding the LCM of two denominators while adding or subtracting fractions.

In conclusion, we have discussed how to calculate the LCM of 60 and 120, which is 120, using the prime factorization method. We hope this article has helped you understand the concept of LCM and its importance in mathematics. If you have any questions or feedback, please feel free to leave a comment below.

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