What is the Least Common Multiple of 48864 and 48870?

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 48864 and 48870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48864 and 48870, than apply into the LCM equation.

GCF(48864,48870) = 6
LCM(48864,48870) = ( 48864 × 48870) / 6
LCM(48864,48870) = 2387983680 / 6
LCM(48864,48870) = 397997280

Least Common Multiple (LCM) of 48864 and 48870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48864 and 48870. First we will calculate the prime factors of 48864 and 48870.

Prime Factorization of 48864

Prime Factorization of 48870

Now multiplying the highest exponent prime factors to calculate the LCM of 48864 and 48870.

LCM(48864,48870) = 2⁵ × 3³ × 509¹ × 5¹ × 181¹
LCM(48864,48870) = 397997280