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

1 Answer
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*1^12111
Prime factorization of 6 = 3 x 2 = 2^1*3^1*1^1213111
Using the set of prime numbers from each set with the highest exponent value we take 2^1*3^1*1^1213111
Therefore LCM(2, 6) = 6