What is the Least Common Multiple of 30314 and 30328?

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 30314 and 30328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30314 and 30328, than apply into the LCM equation.

GCF(30314,30328) = 2
LCM(30314,30328) = ( 30314 × 30328) / 2
LCM(30314,30328) = 919362992 / 2
LCM(30314,30328) = 459681496

Least Common Multiple (LCM) of 30314 and 30328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30314 and 30328. First we will calculate the prime factors of 30314 and 30328.

Prime Factorization of 30314

Prime Factorization of 30328

Now multiplying the highest exponent prime factors to calculate the LCM of 30314 and 30328.

LCM(30314,30328) = 2³ × 23¹ × 659¹ × 17¹ × 223¹
LCM(30314,30328) = 459681496