What is the Least Common Multiple of 30450 and 30468?

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 30450 and 30468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30450 and 30468, than apply into the LCM equation.

GCF(30450,30468) = 6
LCM(30450,30468) = ( 30450 × 30468) / 6
LCM(30450,30468) = 927750600 / 6
LCM(30450,30468) = 154625100

Least Common Multiple (LCM) of 30450 and 30468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30450 and 30468. First we will calculate the prime factors of 30450 and 30468.

Prime Factorization of 30450

Prime Factorization of 30468

Now multiplying the highest exponent prime factors to calculate the LCM of 30450 and 30468.

LCM(30450,30468) = 2² × 3¹ × 5² × 7¹ × 29¹ × 2539¹
LCM(30450,30468) = 154625100