What is the Least Common Multiple of 94044 and 94057?

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 94044 and 94057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94044 and 94057, than apply into the LCM equation.

GCF(94044,94057) = 1
LCM(94044,94057) = ( 94044 × 94057) / 1
LCM(94044,94057) = 8845496508 / 1
LCM(94044,94057) = 8845496508

Least Common Multiple (LCM) of 94044 and 94057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94044 and 94057. First we will calculate the prime factors of 94044 and 94057.

Prime Factorization of 94044

Prime Factorization of 94057

Now multiplying the highest exponent prime factors to calculate the LCM of 94044 and 94057.

LCM(94044,94057) = 2² × 3¹ × 17¹ × 461¹ × 94057¹
LCM(94044,94057) = 8845496508