What is the Least Common Multiple of 30189 and 30201?

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 30201 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 30201, than apply into the LCM equation.

GCF(30189,30201) = 3
LCM(30189,30201) = ( 30189 × 30201) / 3
LCM(30189,30201) = 911737989 / 3
LCM(30189,30201) = 303912663

Least Common Multiple (LCM) of 30189 and 30201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30189 and 30201. First we will calculate the prime factors of 30189 and 30201.

Prime Factorization of 30189

Prime Factorization of 30201

Now multiplying the highest exponent prime factors to calculate the LCM of 30189 and 30201.

LCM(30189,30201) = 3¹ × 29¹ × 347¹ × 10067¹
LCM(30189,30201) = 303912663