What is the Least Common Multiple of 93894 and 93903?

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 93894 and 93903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93894 and 93903, than apply into the LCM equation.

GCF(93894,93903) = 3
LCM(93894,93903) = ( 93894 × 93903) / 3
LCM(93894,93903) = 8816928282 / 3
LCM(93894,93903) = 2938976094

Least Common Multiple (LCM) of 93894 and 93903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93894 and 93903. First we will calculate the prime factors of 93894 and 93903.

Prime Factorization of 93894

Prime Factorization of 93903

Now multiplying the highest exponent prime factors to calculate the LCM of 93894 and 93903.

LCM(93894,93903) = 2¹ × 3¹ × 15649¹ × 113¹ × 277¹
LCM(93894,93903) = 2938976094