What is the Least Common Multiple of 33894 and 33906?

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 33906 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 33906, than apply into the LCM equation.

GCF(33894,33906) = 6
LCM(33894,33906) = ( 33894 × 33906) / 6
LCM(33894,33906) = 1149209964 / 6
LCM(33894,33906) = 191534994

Least Common Multiple (LCM) of 33894 and 33906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33894 and 33906. First we will calculate the prime factors of 33894 and 33906.

Prime Factorization of 33894

Prime Factorization of 33906

Now multiplying the highest exponent prime factors to calculate the LCM of 33894 and 33906.

LCM(33894,33906) = 2¹ × 3² × 7¹ × 269¹ × 5651¹
LCM(33894,33906) = 191534994