Properties of Co-Prime Numbers . Co-prime numbers have several key properties: 1. **Two prime numbers are always co-prime**: Prime numbers are divisible only by 1 and themselves, which means they share no common factors. 2. **Co-prime numbers always have co-prime products when added together**: When two co-prime numbers are multiplied together, their product is also co-prime with any other number that is not a multiple of either of the original numbers. 3. **Even numbers cannot be both co-prime**: Since even numbers share 2 as a common factor, they cannot both be co-prime to each other or any other number. 4. **Every number and 1 makes a pair of co-prime numbers**: The product of any number and 1 is always that number itself, which means they are co-prime. 5. **The result of two co-primes is always their Least Common Multiple (LCM)**: When two co-prime numbers are multiplied together, the result is their LCM. 6. **A pair of coprime numbers’ Highest Common Factor (HCF) is always 1**: Since they share no common factors, their HCF is always 1. Note that I corrected errors in the text and reorganized it for better readability.
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