What is the Least Common Multiple of 81102 and 81118?

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 81102 and 81118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81102 and 81118, than apply into the LCM equation.

GCF(81102,81118) = 2
LCM(81102,81118) = ( 81102 × 81118) / 2
LCM(81102,81118) = 6578832036 / 2
LCM(81102,81118) = 3289416018

Least Common Multiple (LCM) of 81102 and 81118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81102 and 81118. First we will calculate the prime factors of 81102 and 81118.

Prime Factorization of 81102

Prime Factorization of 81118

Now multiplying the highest exponent prime factors to calculate the LCM of 81102 and 81118.

LCM(81102,81118) = 2¹ × 3¹ × 7¹ × 1931¹ × 40559¹
LCM(81102,81118) = 3289416018