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# What is the least common multiple (LCM) of 2 and 6?

Mar 4, 2018

The LCM would be 6 for the values of 2 and 6.

#### Explanation:

The LCM would be calculated by finding the prime factorization of both numbers, then taking the product of the sets of primes with the highest exponent value among them.
In this case, the values are 2 and 6.

Prime factorization of 2 = 2 x 1 = ${2}^{1} \cdot {1}^{1}$
Prime factorization of 6 = 3 x 2 = ${2}^{1} \cdot {3}^{1} \cdot {1}^{1}$
Using the set of prime numbers from each set with the highest exponent value we take ${2}^{1} \cdot {3}^{1} \cdot {1}^{1}$
Therefore LCM(2, 6) = 6