What is the lowest common multiple of 5 and 7

General
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what is the lowest common multiple of 5 and 7

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What is the lowest common multiple of 5 and 7?

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

1. Understand the Definition:
The lowest common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both numbers.

2. Prime Factorization:

  • The prime factorization of 5 is (5^1).
  • The prime factorization of 7 is (7^1).

3. Calculate the LCM:
Since 5 and 7 are both primes and do not have any common factors other than 1, the LCM is the product of these two numbers:

\text{LCM} = 5 \times 7

So,

\text{LCM} = 35

Therefore, the lowest common multiple of 5 and 7 is 35.