What is the Least Common Multiple of 94523 and 94537?

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 94523 and 94537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94523 and 94537, than apply into the LCM equation.

GCF(94523,94537) = 1
LCM(94523,94537) = ( 94523 × 94537) / 1
LCM(94523,94537) = 8935920851 / 1
LCM(94523,94537) = 8935920851

Least Common Multiple (LCM) of 94523 and 94537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94523 and 94537. First we will calculate the prime factors of 94523 and 94537.

Prime Factorization of 94523

Prime Factorization of 94537

Now multiplying the highest exponent prime factors to calculate the LCM of 94523 and 94537.

LCM(94523,94537) = 11¹ × 13¹ × 661¹ × 17¹ × 67¹ × 83¹
LCM(94523,94537) = 8935920851