What is the Least Common Multiple of 33084 and 33096?

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 33084 and 33096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33084 and 33096, than apply into the LCM equation.

GCF(33084,33096) = 12
LCM(33084,33096) = ( 33084 × 33096) / 12
LCM(33084,33096) = 1094948064 / 12
LCM(33084,33096) = 91245672

Least Common Multiple (LCM) of 33084 and 33096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33084 and 33096. First we will calculate the prime factors of 33084 and 33096.

Prime Factorization of 33084

Prime Factorization of 33096

Now multiplying the highest exponent prime factors to calculate the LCM of 33084 and 33096.

LCM(33084,33096) = 2³ × 3² × 919¹ × 7¹ × 197¹
LCM(33084,33096) = 91245672