What is the Least Common Multiple of 48855 and 48864?

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 48855 and 48864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48855 and 48864, than apply into the LCM equation.

GCF(48855,48864) = 3
LCM(48855,48864) = ( 48855 × 48864) / 3
LCM(48855,48864) = 2387250720 / 3
LCM(48855,48864) = 795750240

Least Common Multiple (LCM) of 48855 and 48864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48855 and 48864. First we will calculate the prime factors of 48855 and 48864.

Prime Factorization of 48855

Prime Factorization of 48864

Now multiplying the highest exponent prime factors to calculate the LCM of 48855 and 48864.

LCM(48855,48864) = 3¹ × 5¹ × 3257¹ × 2⁵ × 509¹
LCM(48855,48864) = 795750240