What is the Least Common Multiple of 94500 and 94512?

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 94500 and 94512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94500 and 94512, than apply into the LCM equation.

GCF(94500,94512) = 12
LCM(94500,94512) = ( 94500 × 94512) / 12
LCM(94500,94512) = 8931384000 / 12
LCM(94500,94512) = 744282000

Least Common Multiple (LCM) of 94500 and 94512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94500 and 94512. First we will calculate the prime factors of 94500 and 94512.

Prime Factorization of 94500

Prime Factorization of 94512

Now multiplying the highest exponent prime factors to calculate the LCM of 94500 and 94512.

LCM(94500,94512) = 2⁴ × 3³ × 5³ × 7¹ × 11¹ × 179¹
LCM(94500,94512) = 744282000