What is the Least Common Multiple of 94783 and 94793?

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 94783 and 94793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94783 and 94793, than apply into the LCM equation.

GCF(94783,94793) = 1
LCM(94783,94793) = ( 94783 × 94793) / 1
LCM(94783,94793) = 8984764919 / 1
LCM(94783,94793) = 8984764919

Least Common Multiple (LCM) of 94783 and 94793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94783 and 94793. First we will calculate the prime factors of 94783 and 94793.

Prime Factorization of 94783

Prime Factorization of 94793

Now multiplying the highest exponent prime factors to calculate the LCM of 94783 and 94793.

LCM(94783,94793) = 13¹ × 23¹ × 317¹ × 94793¹
LCM(94783,94793) = 8984764919