What is the Least Common Multiple of 30774 and 30789?

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 30774 and 30789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30774 and 30789, than apply into the LCM equation.

GCF(30774,30789) = 3
LCM(30774,30789) = ( 30774 × 30789) / 3
LCM(30774,30789) = 947500686 / 3
LCM(30774,30789) = 315833562

Least Common Multiple (LCM) of 30774 and 30789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30774 and 30789. First we will calculate the prime factors of 30774 and 30789.

Prime Factorization of 30774

Prime Factorization of 30789

Now multiplying the highest exponent prime factors to calculate the LCM of 30774 and 30789.

LCM(30774,30789) = 2¹ × 3² × 23¹ × 223¹ × 11¹ × 311¹
LCM(30774,30789) = 315833562