What is the Least Common Multiple of 48594 and 48612?

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 48594 and 48612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48594 and 48612, than apply into the LCM equation.

GCF(48594,48612) = 6
LCM(48594,48612) = ( 48594 × 48612) / 6
LCM(48594,48612) = 2362251528 / 6
LCM(48594,48612) = 393708588

Least Common Multiple (LCM) of 48594 and 48612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48594 and 48612. First we will calculate the prime factors of 48594 and 48612.

Prime Factorization of 48594

Prime Factorization of 48612

Now multiplying the highest exponent prime factors to calculate the LCM of 48594 and 48612.

LCM(48594,48612) = 2² × 3¹ × 7¹ × 13¹ × 89¹ × 4051¹
LCM(48594,48612) = 393708588