What is the Least Common Multiple of 30585 and 30591?

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 30585 and 30591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30585 and 30591, than apply into the LCM equation.

GCF(30585,30591) = 3
LCM(30585,30591) = ( 30585 × 30591) / 3
LCM(30585,30591) = 935625735 / 3
LCM(30585,30591) = 311875245

Least Common Multiple (LCM) of 30585 and 30591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30585 and 30591. First we will calculate the prime factors of 30585 and 30591.

Prime Factorization of 30585

Prime Factorization of 30591

Now multiplying the highest exponent prime factors to calculate the LCM of 30585 and 30591.

LCM(30585,30591) = 3³ × 5¹ × 2039¹ × 11¹ × 103¹
LCM(30585,30591) = 311875245