What is the Least Common Multiple of 30291 and 30306?

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 30291 and 30306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30291 and 30306, than apply into the LCM equation.

GCF(30291,30306) = 3
LCM(30291,30306) = ( 30291 × 30306) / 3
LCM(30291,30306) = 917999046 / 3
LCM(30291,30306) = 305999682

Least Common Multiple (LCM) of 30291 and 30306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30291 and 30306. First we will calculate the prime factors of 30291 and 30306.

Prime Factorization of 30291

Prime Factorization of 30306

Now multiplying the highest exponent prime factors to calculate the LCM of 30291 and 30306.

LCM(30291,30306) = 3¹ × 23¹ × 439¹ × 2¹ × 5051¹
LCM(30291,30306) = 305999682