What is the Least Common Multiple of 33894 and 33909?

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 33909 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 33909, than apply into the LCM equation.

GCF(33894,33909) = 3
LCM(33894,33909) = ( 33894 × 33909) / 3
LCM(33894,33909) = 1149311646 / 3
LCM(33894,33909) = 383103882

Least Common Multiple (LCM) of 33894 and 33909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33894 and 33909. First we will calculate the prime factors of 33894 and 33909.

Prime Factorization of 33894

Prime Factorization of 33909

Now multiplying the highest exponent prime factors to calculate the LCM of 33894 and 33909.

LCM(33894,33909) = 2¹ × 3² × 7¹ × 269¹ × 89¹ × 127¹
LCM(33894,33909) = 383103882