What is the Least Common Multiple of 33189 and 33204?

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 33189 and 33204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33189 and 33204, than apply into the LCM equation.

GCF(33189,33204) = 3
LCM(33189,33204) = ( 33189 × 33204) / 3
LCM(33189,33204) = 1102007556 / 3
LCM(33189,33204) = 367335852

Least Common Multiple (LCM) of 33189 and 33204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33189 and 33204. First we will calculate the prime factors of 33189 and 33204.

Prime Factorization of 33189

Prime Factorization of 33204

Now multiplying the highest exponent prime factors to calculate the LCM of 33189 and 33204.

LCM(33189,33204) = 3¹ × 13¹ × 23¹ × 37¹ × 2² × 2767¹
LCM(33189,33204) = 367335852