What is the Least Common Multiple of 33894 and 33900?

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 33900 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 33900, than apply into the LCM equation.

GCF(33894,33900) = 6
LCM(33894,33900) = ( 33894 × 33900) / 6
LCM(33894,33900) = 1149006600 / 6
LCM(33894,33900) = 191501100

Least Common Multiple (LCM) of 33894 and 33900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33894 and 33900. First we will calculate the prime factors of 33894 and 33900.

Prime Factorization of 33894

Prime Factorization of 33900

Now multiplying the highest exponent prime factors to calculate the LCM of 33894 and 33900.

LCM(33894,33900) = 2² × 3² × 7¹ × 269¹ × 5² × 113¹
LCM(33894,33900) = 191501100