What is the Least Common Multiple of 30312 and 30330?

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 30312 and 30330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30312 and 30330, than apply into the LCM equation.

GCF(30312,30330) = 18
LCM(30312,30330) = ( 30312 × 30330) / 18
LCM(30312,30330) = 919362960 / 18
LCM(30312,30330) = 51075720

Least Common Multiple (LCM) of 30312 and 30330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30312 and 30330. First we will calculate the prime factors of 30312 and 30330.

Prime Factorization of 30312

Prime Factorization of 30330

Now multiplying the highest exponent prime factors to calculate the LCM of 30312 and 30330.

LCM(30312,30330) = 2³ × 3² × 421¹ × 5¹ × 337¹
LCM(30312,30330) = 51075720