What is the Least Common Multiple of 48057 and 48071?

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 48057 and 48071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48057 and 48071, than apply into the LCM equation.

GCF(48057,48071) = 1
LCM(48057,48071) = ( 48057 × 48071) / 1
LCM(48057,48071) = 2310148047 / 1
LCM(48057,48071) = 2310148047

Least Common Multiple (LCM) of 48057 and 48071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48057 and 48071. First we will calculate the prime factors of 48057 and 48071.

Prime Factorization of 48057

Prime Factorization of 48071

Now multiplying the highest exponent prime factors to calculate the LCM of 48057 and 48071.

LCM(48057,48071) = 3¹ × 83¹ × 193¹ × 53¹ × 907¹
LCM(48057,48071) = 2310148047