What is the Least Common Multiple of 93894 and 93909?

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 93909 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 93909, than apply into the LCM equation.

GCF(93894,93909) = 3
LCM(93894,93909) = ( 93894 × 93909) / 3
LCM(93894,93909) = 8817491646 / 3
LCM(93894,93909) = 2939163882

Least Common Multiple (LCM) of 93894 and 93909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93894 and 93909. First we will calculate the prime factors of 93894 and 93909.

Prime Factorization of 93894

Prime Factorization of 93909

Now multiplying the highest exponent prime factors to calculate the LCM of 93894 and 93909.

LCM(93894,93909) = 2¹ × 3¹ × 15649¹ × 23¹ × 1361¹
LCM(93894,93909) = 2939163882