What is the lowest common multiple of 7 and 5

General
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what is the lowest common multiple of 7 and 5

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What is the lowest common multiple of 7 and 5?

Answer: To find the lowest common multiple (LCM) of 7 and 5, we follow these steps:

  1. Prime Factorization:

    • The number 7 is a prime number, so its only prime factor is 7 itself.
    • The number 5 is also a prime number, so its only prime factor is 5 itself.

  2. Identify the Highest Power of Each Prime:

    • Since both numbers are prime, their highest powers are the numbers themselves.

  3. Calculate the LCM:

    • The LCM is the product of all prime factors, raised to their highest powers.
    \text{LCM} = 7^1 \times 5^1
    • Compute the product:
    \text{LCM} = 7 \times 5 = 35

Therefore, the lowest common multiple of 7 and 5 is \boxed{35}.