What is the Least Common Multiple of 30894 and 30913?

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 30913 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 30913, than apply into the LCM equation.

GCF(30894,30913) = 19
LCM(30894,30913) = ( 30894 × 30913) / 19
LCM(30894,30913) = 955026222 / 19
LCM(30894,30913) = 50264538

Least Common Multiple (LCM) of 30894 and 30913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30894 and 30913. First we will calculate the prime factors of 30894 and 30913.

Prime Factorization of 30894

Prime Factorization of 30913

Now multiplying the highest exponent prime factors to calculate the LCM of 30894 and 30913.

LCM(30894,30913) = 2¹ × 3¹ × 19¹ × 271¹ × 1627¹
LCM(30894,30913) = 50264538