What is the Least Common Multiple of 30394 and 30401?

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 30394 and 30401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30394 and 30401, than apply into the LCM equation.

GCF(30394,30401) = 7
LCM(30394,30401) = ( 30394 × 30401) / 7
LCM(30394,30401) = 924007994 / 7
LCM(30394,30401) = 132001142

Least Common Multiple (LCM) of 30394 and 30401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30394 and 30401. First we will calculate the prime factors of 30394 and 30401.

Prime Factorization of 30394

Prime Factorization of 30401

Now multiplying the highest exponent prime factors to calculate the LCM of 30394 and 30401.

LCM(30394,30401) = 2¹ × 7¹ × 13¹ × 167¹ × 43¹ × 101¹
LCM(30394,30401) = 132001142