What is the Least Common Multiple of 94050 and 94065?

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 94065 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 94065, than apply into the LCM equation.

GCF(94050,94065) = 15
LCM(94050,94065) = ( 94050 × 94065) / 15
LCM(94050,94065) = 8846813250 / 15
LCM(94050,94065) = 589787550

Least Common Multiple (LCM) of 94050 and 94065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94050 and 94065. First we will calculate the prime factors of 94050 and 94065.

Prime Factorization of 94050

Prime Factorization of 94065

Now multiplying the highest exponent prime factors to calculate the LCM of 94050 and 94065.

LCM(94050,94065) = 2¹ × 3² × 5² × 11¹ × 19¹ × 6271¹
LCM(94050,94065) = 589787550