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LCM of two co-prime numbers is always ____

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The difference between the given numbers.

The product of the given numbers.

The sum of the given numbers.

The quotient of the given numbers.

answer is B.

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Detailed Solution

The Lowest Common Multiple (LCM) of two or more given numbers is the least of their common multiples.

LCM of two co-prime numbers is the product of the given numbers.

Consider 3 and 4

Reduce 3 and 4 to their prime Factors:

3 = 1 x 3

4 = 2 x 2

Considering the highest power of all factors we get,

LCM (3, 4) = 3 x 2 x 2 = 12 which is the product of these two numbers.

Hence we can say that the LCM of two co-prime numbers is the product of the numbers.

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