What is the Least Common Multiple of 94546 and 94559?

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 94546 and 94559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94546 and 94559, than apply into the LCM equation.

GCF(94546,94559) = 1
LCM(94546,94559) = ( 94546 × 94559) / 1
LCM(94546,94559) = 8940175214 / 1
LCM(94546,94559) = 8940175214

Least Common Multiple (LCM) of 94546 and 94559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94546 and 94559. First we will calculate the prime factors of 94546 and 94559.

Prime Factorization of 94546

Prime Factorization of 94559

Now multiplying the highest exponent prime factors to calculate the LCM of 94546 and 94559.

LCM(94546,94559) = 2¹ × 41¹ × 1153¹ × 94559¹
LCM(94546,94559) = 8940175214