What is the Least Common Multiple of 94300 and 94305?

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 94300 and 94305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94300 and 94305, than apply into the LCM equation.

GCF(94300,94305) = 5
LCM(94300,94305) = ( 94300 × 94305) / 5
LCM(94300,94305) = 8892961500 / 5
LCM(94300,94305) = 1778592300

Least Common Multiple (LCM) of 94300 and 94305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94300 and 94305. First we will calculate the prime factors of 94300 and 94305.

Prime Factorization of 94300

Prime Factorization of 94305

Now multiplying the highest exponent prime factors to calculate the LCM of 94300 and 94305.

LCM(94300,94305) = 2² × 5² × 23¹ × 41¹ × 3¹ × 6287¹
LCM(94300,94305) = 1778592300