What is the Least Common Multiple of 30180 and 30194?

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 30180 and 30194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30180 and 30194, than apply into the LCM equation.

GCF(30180,30194) = 2
LCM(30180,30194) = ( 30180 × 30194) / 2
LCM(30180,30194) = 911254920 / 2
LCM(30180,30194) = 455627460

Least Common Multiple (LCM) of 30180 and 30194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30180 and 30194. First we will calculate the prime factors of 30180 and 30194.

Prime Factorization of 30180

Prime Factorization of 30194

Now multiplying the highest exponent prime factors to calculate the LCM of 30180 and 30194.

LCM(30180,30194) = 2² × 3¹ × 5¹ × 503¹ × 31¹ × 487¹
LCM(30180,30194) = 455627460