What is the Least Common Multiple of 48066 and 48081?

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 48066 and 48081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48066 and 48081, than apply into the LCM equation.

GCF(48066,48081) = 3
LCM(48066,48081) = ( 48066 × 48081) / 3
LCM(48066,48081) = 2311061346 / 3
LCM(48066,48081) = 770353782

Least Common Multiple (LCM) of 48066 and 48081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48066 and 48081. First we will calculate the prime factors of 48066 and 48081.

Prime Factorization of 48066

Prime Factorization of 48081

Now multiplying the highest exponent prime factors to calculate the LCM of 48066 and 48081.

LCM(48066,48081) = 2¹ × 3¹ × 8011¹ × 11¹ × 31¹ × 47¹
LCM(48066,48081) = 770353782