What is the Least Common Multiple of 48312 and 48327?

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 48312 and 48327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48312 and 48327, than apply into the LCM equation.

GCF(48312,48327) = 3
LCM(48312,48327) = ( 48312 × 48327) / 3
LCM(48312,48327) = 2334774024 / 3
LCM(48312,48327) = 778258008

Least Common Multiple (LCM) of 48312 and 48327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48312 and 48327. First we will calculate the prime factors of 48312 and 48327.

Prime Factorization of 48312

Prime Factorization of 48327

Now multiplying the highest exponent prime factors to calculate the LCM of 48312 and 48327.

LCM(48312,48327) = 2³ × 3² × 11¹ × 61¹ × 89¹ × 181¹
LCM(48312,48327) = 778258008