What is the Least Common Multiple of 33894 and 33908?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33894 and 33908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33894 and 33908, than apply into the LCM equation.

GCF(33894,33908) = 14
LCM(33894,33908) = ( 33894 × 33908) / 14
LCM(33894,33908) = 1149277752 / 14
LCM(33894,33908) = 82091268

Least Common Multiple (LCM) of 33894 and 33908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33894 and 33908. First we will calculate the prime factors of 33894 and 33908.

Prime Factorization of 33894

Prime Factorization of 33908

Now multiplying the highest exponent prime factors to calculate the LCM of 33894 and 33908.

LCM(33894,33908) = 2² × 3² × 7² × 269¹ × 173¹
LCM(33894,33908) = 82091268