What is the Least Common Multiple of 94956 and 94968?

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 94956 and 94968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94956 and 94968, than apply into the LCM equation.

GCF(94956,94968) = 12
LCM(94956,94968) = ( 94956 × 94968) / 12
LCM(94956,94968) = 9017781408 / 12
LCM(94956,94968) = 751481784

Least Common Multiple (LCM) of 94956 and 94968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94956 and 94968. First we will calculate the prime factors of 94956 and 94968.

Prime Factorization of 94956

Prime Factorization of 94968

Now multiplying the highest exponent prime factors to calculate the LCM of 94956 and 94968.

LCM(94956,94968) = 2³ × 3² × 41¹ × 193¹ × 1319¹
LCM(94956,94968) = 751481784