What is the Least Common Multiple of 94575 and 94590?

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 94575 and 94590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94575 and 94590, than apply into the LCM equation.

GCF(94575,94590) = 15
LCM(94575,94590) = ( 94575 × 94590) / 15
LCM(94575,94590) = 8945849250 / 15
LCM(94575,94590) = 596389950

Least Common Multiple (LCM) of 94575 and 94590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94575 and 94590. First we will calculate the prime factors of 94575 and 94590.

Prime Factorization of 94575

Prime Factorization of 94590

Now multiplying the highest exponent prime factors to calculate the LCM of 94575 and 94590.

LCM(94575,94590) = 3² × 5² × 13¹ × 97¹ × 2¹ × 1051¹
LCM(94575,94590) = 596389950