What is the Least Common Multiple of 94032 and 94044?

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 94032 and 94044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94032 and 94044, than apply into the LCM equation.

GCF(94032,94044) = 12
LCM(94032,94044) = ( 94032 × 94044) / 12
LCM(94032,94044) = 8843145408 / 12
LCM(94032,94044) = 736928784

Least Common Multiple (LCM) of 94032 and 94044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94032 and 94044. First we will calculate the prime factors of 94032 and 94044.

Prime Factorization of 94032

Prime Factorization of 94044

Now multiplying the highest exponent prime factors to calculate the LCM of 94032 and 94044.

LCM(94032,94044) = 2⁴ × 3² × 653¹ × 17¹ × 461¹
LCM(94032,94044) = 736928784