What is the Least Common Multiple of 94570 and 94584?

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 94570 and 94584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94570 and 94584, than apply into the LCM equation.

GCF(94570,94584) = 14
LCM(94570,94584) = ( 94570 × 94584) / 14
LCM(94570,94584) = 8944808880 / 14
LCM(94570,94584) = 638914920

Least Common Multiple (LCM) of 94570 and 94584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94570 and 94584. First we will calculate the prime factors of 94570 and 94584.

Prime Factorization of 94570

Prime Factorization of 94584

Now multiplying the highest exponent prime factors to calculate the LCM of 94570 and 94584.

LCM(94570,94584) = 2³ × 5¹ × 7² × 193¹ × 3¹ × 563¹
LCM(94570,94584) = 638914920