What is the Least Common Multiple of 94512 and 94530?

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 94512 and 94530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94512 and 94530, than apply into the LCM equation.

GCF(94512,94530) = 6
LCM(94512,94530) = ( 94512 × 94530) / 6
LCM(94512,94530) = 8934219360 / 6
LCM(94512,94530) = 1489036560

Least Common Multiple (LCM) of 94512 and 94530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94512 and 94530. First we will calculate the prime factors of 94512 and 94530.

Prime Factorization of 94512

Prime Factorization of 94530

Now multiplying the highest exponent prime factors to calculate the LCM of 94512 and 94530.

LCM(94512,94530) = 2⁴ × 3¹ × 11¹ × 179¹ × 5¹ × 23¹ × 137¹
LCM(94512,94530) = 1489036560