What is the Least Common Multiple of 30394 and 30408?

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 30408 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 30408, than apply into the LCM equation.

GCF(30394,30408) = 14
LCM(30394,30408) = ( 30394 × 30408) / 14
LCM(30394,30408) = 924220752 / 14
LCM(30394,30408) = 66015768

Least Common Multiple (LCM) of 30394 and 30408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30394 and 30408. First we will calculate the prime factors of 30394 and 30408.

Prime Factorization of 30394

Prime Factorization of 30408

Now multiplying the highest exponent prime factors to calculate the LCM of 30394 and 30408.

LCM(30394,30408) = 2³ × 7¹ × 13¹ × 167¹ × 3¹ × 181¹
LCM(30394,30408) = 66015768