What is the Least Common Multiple of 81867 and 81881?

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 81867 and 81881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81867 and 81881, than apply into the LCM equation.

GCF(81867,81881) = 1
LCM(81867,81881) = ( 81867 × 81881) / 1
LCM(81867,81881) = 6703351827 / 1
LCM(81867,81881) = 6703351827

Least Common Multiple (LCM) of 81867 and 81881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81867 and 81881. First we will calculate the prime factors of 81867 and 81881.

Prime Factorization of 81867

Prime Factorization of 81881

Now multiplying the highest exponent prime factors to calculate the LCM of 81867 and 81881.

LCM(81867,81881) = 3¹ × 29¹ × 941¹ × 37¹ × 2213¹
LCM(81867,81881) = 6703351827