What is the Least Common Multiple of 81894 and 81912?

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 81894 and 81912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81894 and 81912, than apply into the LCM equation.

GCF(81894,81912) = 6
LCM(81894,81912) = ( 81894 × 81912) / 6
LCM(81894,81912) = 6708101328 / 6
LCM(81894,81912) = 1118016888

Least Common Multiple (LCM) of 81894 and 81912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81894 and 81912. First we will calculate the prime factors of 81894 and 81912.

Prime Factorization of 81894

Prime Factorization of 81912

Now multiplying the highest exponent prime factors to calculate the LCM of 81894 and 81912.

LCM(81894,81912) = 2³ × 3¹ × 13649¹ × 3413¹
LCM(81894,81912) = 1118016888