What is the Least Common Multiple of 33192 and 33196?

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 33192 and 33196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33192 and 33196, than apply into the LCM equation.

GCF(33192,33196) = 4
LCM(33192,33196) = ( 33192 × 33196) / 4
LCM(33192,33196) = 1101841632 / 4
LCM(33192,33196) = 275460408

Least Common Multiple (LCM) of 33192 and 33196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33192 and 33196. First we will calculate the prime factors of 33192 and 33196.

Prime Factorization of 33192

Prime Factorization of 33196

Now multiplying the highest exponent prime factors to calculate the LCM of 33192 and 33196.

LCM(33192,33196) = 2³ × 3² × 461¹ × 43¹ × 193¹
LCM(33192,33196) = 275460408