What is the Least Common Multiple of 48384 and 48390?

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 48390 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 48390, than apply into the LCM equation.

GCF(48384,48390) = 6
LCM(48384,48390) = ( 48384 × 48390) / 6
LCM(48384,48390) = 2341301760 / 6
LCM(48384,48390) = 390216960

Least Common Multiple (LCM) of 48384 and 48390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48384 and 48390. First we will calculate the prime factors of 48384 and 48390.

Prime Factorization of 48384

Prime Factorization of 48390

Now multiplying the highest exponent prime factors to calculate the LCM of 48384 and 48390.

LCM(48384,48390) = 2⁸ × 3³ × 7¹ × 5¹ × 1613¹
LCM(48384,48390) = 390216960