What is the Least Common Multiple of 94488 and 94496?

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 94488 and 94496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94488 and 94496, than apply into the LCM equation.

GCF(94488,94496) = 8
LCM(94488,94496) = ( 94488 × 94496) / 8
LCM(94488,94496) = 8928738048 / 8
LCM(94488,94496) = 1116092256

Least Common Multiple (LCM) of 94488 and 94496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94488 and 94496. First we will calculate the prime factors of 94488 and 94496.

Prime Factorization of 94488

Prime Factorization of 94496

Now multiplying the highest exponent prime factors to calculate the LCM of 94488 and 94496.

LCM(94488,94496) = 2⁵ × 3¹ × 31¹ × 127¹ × 2953¹
LCM(94488,94496) = 1116092256