What is the Least Common Multiple of 94850 and 94865?

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 94850 and 94865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94850 and 94865, than apply into the LCM equation.

GCF(94850,94865) = 5
LCM(94850,94865) = ( 94850 × 94865) / 5
LCM(94850,94865) = 8997945250 / 5
LCM(94850,94865) = 1799589050

Least Common Multiple (LCM) of 94850 and 94865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94850 and 94865. First we will calculate the prime factors of 94850 and 94865.

Prime Factorization of 94850

Prime Factorization of 94865

Now multiplying the highest exponent prime factors to calculate the LCM of 94850 and 94865.

LCM(94850,94865) = 2¹ × 5² × 7¹ × 271¹ × 18973¹
LCM(94850,94865) = 1799589050