What is the Least Common Multiple of 93885 and 93891?

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 93885 and 93891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93885 and 93891, than apply into the LCM equation.

GCF(93885,93891) = 3
LCM(93885,93891) = ( 93885 × 93891) / 3
LCM(93885,93891) = 8814956535 / 3
LCM(93885,93891) = 2938318845

Least Common Multiple (LCM) of 93885 and 93891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93885 and 93891. First we will calculate the prime factors of 93885 and 93891.

Prime Factorization of 93885

Prime Factorization of 93891

Now multiplying the highest exponent prime factors to calculate the LCM of 93885 and 93891.

LCM(93885,93891) = 3¹ × 5¹ × 11¹ × 569¹ × 7¹ × 17¹ × 263¹
LCM(93885,93891) = 2938318845