What is the Least Common Multiple of 30468 and 30474?

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 30468 and 30474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30468 and 30474, than apply into the LCM equation.

GCF(30468,30474) = 6
LCM(30468,30474) = ( 30468 × 30474) / 6
LCM(30468,30474) = 928481832 / 6
LCM(30468,30474) = 154746972

Least Common Multiple (LCM) of 30468 and 30474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30468 and 30474. First we will calculate the prime factors of 30468 and 30474.

Prime Factorization of 30468

Prime Factorization of 30474

Now multiplying the highest exponent prime factors to calculate the LCM of 30468 and 30474.

LCM(30468,30474) = 2² × 3² × 2539¹ × 1693¹
LCM(30468,30474) = 154746972