What is the Least Common Multiple of 81089 and 81104?

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 81089 and 81104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81089 and 81104, than apply into the LCM equation.

GCF(81089,81104) = 1
LCM(81089,81104) = ( 81089 × 81104) / 1
LCM(81089,81104) = 6576642256 / 1
LCM(81089,81104) = 6576642256

Least Common Multiple (LCM) of 81089 and 81104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81089 and 81104. First we will calculate the prime factors of 81089 and 81104.

Prime Factorization of 81089

Prime Factorization of 81104

Now multiplying the highest exponent prime factors to calculate the LCM of 81089 and 81104.

LCM(81089,81104) = 131¹ × 619¹ × 2⁴ × 37¹ × 137¹
LCM(81089,81104) = 6576642256