What is the Least Common Multiple of 48057 and 48075?

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 48075 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 48075, than apply into the LCM equation.

GCF(48057,48075) = 3
LCM(48057,48075) = ( 48057 × 48075) / 3
LCM(48057,48075) = 2310340275 / 3
LCM(48057,48075) = 770113425

Least Common Multiple (LCM) of 48057 and 48075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48057 and 48075. First we will calculate the prime factors of 48057 and 48075.

Prime Factorization of 48057

Prime Factorization of 48075

Now multiplying the highest exponent prime factors to calculate the LCM of 48057 and 48075.

LCM(48057,48075) = 3¹ × 83¹ × 193¹ × 5² × 641¹
LCM(48057,48075) = 770113425