What is the Least Common Multiple of 81891 and 81895?

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 81891 and 81895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81891 and 81895, than apply into the LCM equation.

GCF(81891,81895) = 1
LCM(81891,81895) = ( 81891 × 81895) / 1
LCM(81891,81895) = 6706463445 / 1
LCM(81891,81895) = 6706463445

Least Common Multiple (LCM) of 81891 and 81895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81891 and 81895. First we will calculate the prime factors of 81891 and 81895.

Prime Factorization of 81891

Prime Factorization of 81895

Now multiplying the highest exponent prime factors to calculate the LCM of 81891 and 81895.

LCM(81891,81895) = 3⁵ × 337¹ × 5¹ × 11¹ × 1489¹
LCM(81891,81895) = 6706463445