What is the Least Common Multiple of 94068 and 94072?

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 94068 and 94072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94068 and 94072, than apply into the LCM equation.

GCF(94068,94072) = 4
LCM(94068,94072) = ( 94068 × 94072) / 4
LCM(94068,94072) = 8849164896 / 4
LCM(94068,94072) = 2212291224

Least Common Multiple (LCM) of 94068 and 94072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94068 and 94072. First we will calculate the prime factors of 94068 and 94072.

Prime Factorization of 94068

Prime Factorization of 94072

Now multiplying the highest exponent prime factors to calculate the LCM of 94068 and 94072.

LCM(94068,94072) = 2³ × 3³ × 13¹ × 67¹ × 11¹ × 1069¹
LCM(94068,94072) = 2212291224