What is the Least Common Multiple of 30312 and 30322?

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 30322 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 30322, than apply into the LCM equation.

GCF(30312,30322) = 2
LCM(30312,30322) = ( 30312 × 30322) / 2
LCM(30312,30322) = 919120464 / 2
LCM(30312,30322) = 459560232

Least Common Multiple (LCM) of 30312 and 30322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30312 and 30322. First we will calculate the prime factors of 30312 and 30322.

Prime Factorization of 30312

Prime Factorization of 30322

Now multiplying the highest exponent prime factors to calculate the LCM of 30312 and 30322.

LCM(30312,30322) = 2³ × 3² × 421¹ × 15161¹
LCM(30312,30322) = 459560232