What is the Least Common Multiple of 30395 and 30414?

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 30395 and 30414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30395 and 30414, than apply into the LCM equation.

GCF(30395,30414) = 1
LCM(30395,30414) = ( 30395 × 30414) / 1
LCM(30395,30414) = 924433530 / 1
LCM(30395,30414) = 924433530

Least Common Multiple (LCM) of 30395 and 30414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30395 and 30414. First we will calculate the prime factors of 30395 and 30414.

Prime Factorization of 30395

Prime Factorization of 30414

Now multiplying the highest exponent prime factors to calculate the LCM of 30395 and 30414.

LCM(30395,30414) = 5¹ × 6079¹ × 2¹ × 3¹ × 37¹ × 137¹
LCM(30395,30414) = 924433530