What is the Least Common Multiple of 33184 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 33184 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 33184 and 33200, than apply into the LCM equation.

GCF(33184,33200) = 16
LCM(33184,33200) = ( 33184 × 33200) / 16
LCM(33184,33200) = 1101708800 / 16
LCM(33184,33200) = 68856800

Least Common Multiple (LCM) of 33184 and 33200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33184 and 33200. First we will calculate the prime factors of 33184 and 33200.

Prime Factorization of 33184

Prime Factorization of 33200

Now multiplying the highest exponent prime factors to calculate the LCM of 33184 and 33200.

LCM(33184,33200) = 2⁵ × 17¹ × 61¹ × 5² × 83¹
LCM(33184,33200) = 68856800