What is the Least Common Multiple of 30189 and 30204?

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 30189 and 30204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30189 and 30204, than apply into the LCM equation.

GCF(30189,30204) = 3
LCM(30189,30204) = ( 30189 × 30204) / 3
LCM(30189,30204) = 911828556 / 3
LCM(30189,30204) = 303942852

Least Common Multiple (LCM) of 30189 and 30204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30189 and 30204. First we will calculate the prime factors of 30189 and 30204.

Prime Factorization of 30189

Prime Factorization of 30204

Now multiplying the highest exponent prime factors to calculate the LCM of 30189 and 30204.

LCM(30189,30204) = 3² × 29¹ × 347¹ × 2² × 839¹
LCM(30189,30204) = 303942852