What is the Least Common Multiple of 94050 and 94056?

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 94050 and 94056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94050 and 94056, than apply into the LCM equation.

GCF(94050,94056) = 6
LCM(94050,94056) = ( 94050 × 94056) / 6
LCM(94050,94056) = 8845966800 / 6
LCM(94050,94056) = 1474327800

Least Common Multiple (LCM) of 94050 and 94056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94050 and 94056. First we will calculate the prime factors of 94050 and 94056.

Prime Factorization of 94050

Prime Factorization of 94056

Now multiplying the highest exponent prime factors to calculate the LCM of 94050 and 94056.

LCM(94050,94056) = 2³ × 3² × 5² × 11¹ × 19¹ × 3919¹
LCM(94050,94056) = 1474327800