What is the Least Common Multiple of 81099 and 81117?

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 81099 and 81117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81099 and 81117, than apply into the LCM equation.

GCF(81099,81117) = 9
LCM(81099,81117) = ( 81099 × 81117) / 9
LCM(81099,81117) = 6578507583 / 9
LCM(81099,81117) = 730945287

Least Common Multiple (LCM) of 81099 and 81117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81099 and 81117. First we will calculate the prime factors of 81099 and 81117.

Prime Factorization of 81099

Prime Factorization of 81117

Now multiplying the highest exponent prime factors to calculate the LCM of 81099 and 81117.

LCM(81099,81117) = 3² × 9011¹ × 9013¹
LCM(81099,81117) = 730945287