What is the Least Common Multiple of 33178 and 33192?

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 33178 and 33192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33178 and 33192, than apply into the LCM equation.

GCF(33178,33192) = 2
LCM(33178,33192) = ( 33178 × 33192) / 2
LCM(33178,33192) = 1101244176 / 2
LCM(33178,33192) = 550622088

Least Common Multiple (LCM) of 33178 and 33192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33178 and 33192. First we will calculate the prime factors of 33178 and 33192.

Prime Factorization of 33178

Prime Factorization of 33192

Now multiplying the highest exponent prime factors to calculate the LCM of 33178 and 33192.

LCM(33178,33192) = 2³ × 53¹ × 313¹ × 3² × 461¹
LCM(33178,33192) = 550622088