What is the Least Common Multiple of 48384 and 48399?

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 48384 and 48399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48384 and 48399, than apply into the LCM equation.

GCF(48384,48399) = 3
LCM(48384,48399) = ( 48384 × 48399) / 3
LCM(48384,48399) = 2341737216 / 3
LCM(48384,48399) = 780579072

Least Common Multiple (LCM) of 48384 and 48399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48384 and 48399. First we will calculate the prime factors of 48384 and 48399.

Prime Factorization of 48384

Prime Factorization of 48399

Now multiplying the highest exponent prime factors to calculate the LCM of 48384 and 48399.

LCM(48384,48399) = 2⁸ × 3³ × 7¹ × 13¹ × 17¹ × 73¹
LCM(48384,48399) = 780579072