What is the Least Common Multiple of 81857 and 81861?

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 81857 and 81861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81857 and 81861, than apply into the LCM equation.

GCF(81857,81861) = 1
LCM(81857,81861) = ( 81857 × 81861) / 1
LCM(81857,81861) = 6700895877 / 1
LCM(81857,81861) = 6700895877

Least Common Multiple (LCM) of 81857 and 81861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81857 and 81861. First we will calculate the prime factors of 81857 and 81861.

Prime Factorization of 81857

Prime Factorization of 81861

Now multiplying the highest exponent prime factors to calculate the LCM of 81857 and 81861.

LCM(81857,81861) = 23¹ × 3559¹ × 3¹ × 13¹ × 2099¹
LCM(81857,81861) = 6700895877