What is the Least Common Multiple of 94512 and 94524?

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 94524 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 94524, than apply into the LCM equation.

GCF(94512,94524) = 12
LCM(94512,94524) = ( 94512 × 94524) / 12
LCM(94512,94524) = 8933652288 / 12
LCM(94512,94524) = 744471024

Least Common Multiple (LCM) of 94512 and 94524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94512 and 94524. First we will calculate the prime factors of 94512 and 94524.

Prime Factorization of 94512

Prime Factorization of 94524

Now multiplying the highest exponent prime factors to calculate the LCM of 94512 and 94524.

LCM(94512,94524) = 2⁴ × 3¹ × 11¹ × 179¹ × 7877¹
LCM(94512,94524) = 744471024