What is the Least Common Multiple of 94072 and 94076?

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 94072 and 94076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94072 and 94076, than apply into the LCM equation.

GCF(94072,94076) = 4
LCM(94072,94076) = ( 94072 × 94076) / 4
LCM(94072,94076) = 8849917472 / 4
LCM(94072,94076) = 2212479368

Least Common Multiple (LCM) of 94072 and 94076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94072 and 94076. First we will calculate the prime factors of 94072 and 94076.

Prime Factorization of 94072

Prime Factorization of 94076

Now multiplying the highest exponent prime factors to calculate the LCM of 94072 and 94076.

LCM(94072,94076) = 2³ × 11¹ × 1069¹ × 29¹ × 811¹
LCM(94072,94076) = 2212479368