What is the Least Common Multiple of 30330 and 30346?

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 30330 and 30346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30330 and 30346, than apply into the LCM equation.

GCF(30330,30346) = 2
LCM(30330,30346) = ( 30330 × 30346) / 2
LCM(30330,30346) = 920394180 / 2
LCM(30330,30346) = 460197090

Least Common Multiple (LCM) of 30330 and 30346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30330 and 30346. First we will calculate the prime factors of 30330 and 30346.

Prime Factorization of 30330

Prime Factorization of 30346

Now multiplying the highest exponent prime factors to calculate the LCM of 30330 and 30346.

LCM(30330,30346) = 2¹ × 3² × 5¹ × 337¹ × 15173¹
LCM(30330,30346) = 460197090