What is the Least Common Multiple of 30276 and 30291?

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 30276 and 30291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30276 and 30291, than apply into the LCM equation.

GCF(30276,30291) = 3
LCM(30276,30291) = ( 30276 × 30291) / 3
LCM(30276,30291) = 917090316 / 3
LCM(30276,30291) = 305696772

Least Common Multiple (LCM) of 30276 and 30291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30276 and 30291. First we will calculate the prime factors of 30276 and 30291.

Prime Factorization of 30276

Prime Factorization of 30291

Now multiplying the highest exponent prime factors to calculate the LCM of 30276 and 30291.

LCM(30276,30291) = 2² × 3² × 29² × 23¹ × 439¹
LCM(30276,30291) = 305696772