LCM of 4 and 7 How to Find LCM of 4, 7? from www.cuemath.com
Introduction
The LCM stands for the Least Common Multiple. It means the smallest number that is a multiple of two or more numbers. For instance, the LCM of 4 and 7 is the smallest number that both 4 and 7 can divide evenly into.
Prime Factorization
To find the LCM of 4 and 7, we need to use a method called prime factorization. This method involves breaking down each number into its prime factors. Prime factors are the smallest prime numbers that can divide a number evenly.
Prime Factors of 4
The prime factors of 4 are 2 and 2. We can write this as 2^2.
Prime Factors of 7
The prime factors of 7 are just 7 itself. We can write this as 7^1.
Multiplying the Prime Factors
Next, we need to multiply the highest powers of each prime factor together. In this case, the highest power of 2 is 2^2 and the highest power of 7 is 7^1. Therefore, we multiply them together to get: 2^2 x 7^1 = 28
Conclusion
Therefore, the LCM of 4 and 7 is 28. This means that 28 is the smallest number that both 4 and 7 can divide evenly into. Prime factorization is a useful method for finding the LCM of any two or more numbers.
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