What is the Least Common Multiple of 94800 and 94819?

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 94800 and 94819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94800 and 94819, than apply into the LCM equation.

GCF(94800,94819) = 1
LCM(94800,94819) = ( 94800 × 94819) / 1
LCM(94800,94819) = 8988841200 / 1
LCM(94800,94819) = 8988841200

Least Common Multiple (LCM) of 94800 and 94819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94800 and 94819. First we will calculate the prime factors of 94800 and 94819.

Prime Factorization of 94800

Prime Factorization of 94819

Now multiplying the highest exponent prime factors to calculate the LCM of 94800 and 94819.

LCM(94800,94819) = 2⁴ × 3¹ × 5² × 79¹ × 94819¹
LCM(94800,94819) = 8988841200