What is the Least Common Multiple of 33174 and 33189?

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 33174 and 33189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33174 and 33189, than apply into the LCM equation.

GCF(33174,33189) = 3
LCM(33174,33189) = ( 33174 × 33189) / 3
LCM(33174,33189) = 1101011886 / 3
LCM(33174,33189) = 367003962

Least Common Multiple (LCM) of 33174 and 33189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33174 and 33189. First we will calculate the prime factors of 33174 and 33189.

Prime Factorization of 33174

Prime Factorization of 33189

Now multiplying the highest exponent prime factors to calculate the LCM of 33174 and 33189.

LCM(33174,33189) = 2¹ × 3² × 19¹ × 97¹ × 13¹ × 23¹ × 37¹
LCM(33174,33189) = 367003962