What is the Least Common Multiple of 93849 and 93856?

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 93849 and 93856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93849 and 93856, than apply into the LCM equation.

GCF(93849,93856) = 7
LCM(93849,93856) = ( 93849 × 93856) / 7
LCM(93849,93856) = 8808291744 / 7
LCM(93849,93856) = 1258327392

Least Common Multiple (LCM) of 93849 and 93856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93849 and 93856. First we will calculate the prime factors of 93849 and 93856.

Prime Factorization of 93849

Prime Factorization of 93856

Now multiplying the highest exponent prime factors to calculate the LCM of 93849 and 93856.

LCM(93849,93856) = 3¹ × 7¹ × 41¹ × 109¹ × 2⁵ × 419¹
LCM(93849,93856) = 1258327392