What is the Least Common Multiple of 48369 and 48384?

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 48369 and 48384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48369 and 48384, than apply into the LCM equation.

GCF(48369,48384) = 3
LCM(48369,48384) = ( 48369 × 48384) / 3
LCM(48369,48384) = 2340285696 / 3
LCM(48369,48384) = 780095232

Least Common Multiple (LCM) of 48369 and 48384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48369 and 48384. First we will calculate the prime factors of 48369 and 48384.

Prime Factorization of 48369

Prime Factorization of 48384

Now multiplying the highest exponent prime factors to calculate the LCM of 48369 and 48384.

LCM(48369,48384) = 3³ × 23¹ × 701¹ × 2⁸ × 7¹
LCM(48369,48384) = 780095232