What is the lowest common multiple of 4 and 5

General
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what is the lowest common multiple of 4 and 5

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What is the lowest common multiple of 4 and 5?

Answer: The Lowest Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. Here’s how you can find the LCM of 4 and 5:

  1. Prime Factorization:

    • The prime factorization of 4 is 2^2.
    • The prime factorization of 5 is 5^1.

  2. Identify the Highest Powers:

    • For the number 2: The highest power is 2^2.
    • For the number 5: The highest power is 5^1.

  3. Multiply the Highest Powers:

    • LCM = 2^2 \times 5^1

  4. Calculation:

    2^2 = 4
    5^1 = 5
    \text{LCM} = 4 \times 5 = 20

Therefore, the lowest common multiple of 4 and 5 is 20.

Note: By following these detailed steps, you can understand the process of finding the LCM and apply it to other pairs of numbers as well.