What is the Least Common Multiple of 30765 and 30774?

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 30765 and 30774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30765 and 30774, than apply into the LCM equation.

GCF(30765,30774) = 3
LCM(30765,30774) = ( 30765 × 30774) / 3
LCM(30765,30774) = 946762110 / 3
LCM(30765,30774) = 315587370

Least Common Multiple (LCM) of 30765 and 30774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30765 and 30774. First we will calculate the prime factors of 30765 and 30774.

Prime Factorization of 30765

Prime Factorization of 30774

Now multiplying the highest exponent prime factors to calculate the LCM of 30765 and 30774.

LCM(30765,30774) = 3¹ × 5¹ × 7¹ × 293¹ × 2¹ × 23¹ × 223¹
LCM(30765,30774) = 315587370