What is the Least Common Multiple of 94848 and 94856?

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 94848 and 94856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94848 and 94856, than apply into the LCM equation.

GCF(94848,94856) = 8
LCM(94848,94856) = ( 94848 × 94856) / 8
LCM(94848,94856) = 8996901888 / 8
LCM(94848,94856) = 1124612736

Least Common Multiple (LCM) of 94848 and 94856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94848 and 94856. First we will calculate the prime factors of 94848 and 94856.

Prime Factorization of 94848

Prime Factorization of 94856

Now multiplying the highest exponent prime factors to calculate the LCM of 94848 and 94856.

LCM(94848,94856) = 2⁷ × 3¹ × 13¹ × 19¹ × 71¹ × 167¹
LCM(94848,94856) = 1124612736