What is the Least Common Multiple of 33194 and 33200?

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 33194 and 33200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33194 and 33200, than apply into the LCM equation.

GCF(33194,33200) = 2
LCM(33194,33200) = ( 33194 × 33200) / 2
LCM(33194,33200) = 1102040800 / 2
LCM(33194,33200) = 551020400

Least Common Multiple (LCM) of 33194 and 33200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33194 and 33200. First we will calculate the prime factors of 33194 and 33200.

Prime Factorization of 33194

Prime Factorization of 33200

Now multiplying the highest exponent prime factors to calculate the LCM of 33194 and 33200.

LCM(33194,33200) = 2⁴ × 7¹ × 2371¹ × 5² × 83¹
LCM(33194,33200) = 551020400