What is the Least Common Multiple of 94574 and 94579?

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 94574 and 94579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94574 and 94579, than apply into the LCM equation.

GCF(94574,94579) = 1
LCM(94574,94579) = ( 94574 × 94579) / 1
LCM(94574,94579) = 8944714346 / 1
LCM(94574,94579) = 8944714346

Least Common Multiple (LCM) of 94574 and 94579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94574 and 94579. First we will calculate the prime factors of 94574 and 94579.

Prime Factorization of 94574

Prime Factorization of 94579

Now multiplying the highest exponent prime factors to calculate the LCM of 94574 and 94579.

LCM(94574,94579) = 2¹ × 47287¹ × 271¹ × 349¹
LCM(94574,94579) = 8944714346