What is the Least Common Multiple of 81080 and 81099?

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 81080 and 81099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81080 and 81099, than apply into the LCM equation.

GCF(81080,81099) = 1
LCM(81080,81099) = ( 81080 × 81099) / 1
LCM(81080,81099) = 6575506920 / 1
LCM(81080,81099) = 6575506920

Least Common Multiple (LCM) of 81080 and 81099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81080 and 81099. First we will calculate the prime factors of 81080 and 81099.

Prime Factorization of 81080

Prime Factorization of 81099

Now multiplying the highest exponent prime factors to calculate the LCM of 81080 and 81099.

LCM(81080,81099) = 2³ × 5¹ × 2027¹ × 3² × 9011¹
LCM(81080,81099) = 6575506920