What is the Least Common Multiple of 30894 and 30900?

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 30894 and 30900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30894 and 30900, than apply into the LCM equation.

GCF(30894,30900) = 6
LCM(30894,30900) = ( 30894 × 30900) / 6
LCM(30894,30900) = 954624600 / 6
LCM(30894,30900) = 159104100

Least Common Multiple (LCM) of 30894 and 30900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30894 and 30900. First we will calculate the prime factors of 30894 and 30900.

Prime Factorization of 30894

Prime Factorization of 30900

Now multiplying the highest exponent prime factors to calculate the LCM of 30894 and 30900.

LCM(30894,30900) = 2² × 3¹ × 19¹ × 271¹ × 5² × 103¹
LCM(30894,30900) = 159104100