What is the Least Common Multiple of 81101 and 81114?

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 81101 and 81114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81101 and 81114, than apply into the LCM equation.

GCF(81101,81114) = 1
LCM(81101,81114) = ( 81101 × 81114) / 1
LCM(81101,81114) = 6578426514 / 1
LCM(81101,81114) = 6578426514

Least Common Multiple (LCM) of 81101 and 81114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81101 and 81114. First we will calculate the prime factors of 81101 and 81114.

Prime Factorization of 81101

Prime Factorization of 81114

Now multiplying the highest exponent prime factors to calculate the LCM of 81101 and 81114.

LCM(81101,81114) = 81101¹ × 2¹ × 3¹ × 11¹ × 1229¹
LCM(81101,81114) = 6578426514