What is the Least Common Multiple of 93084 and 93099?

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 93084 and 93099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93084 and 93099, than apply into the LCM equation.

GCF(93084,93099) = 3
LCM(93084,93099) = ( 93084 × 93099) / 3
LCM(93084,93099) = 8666027316 / 3
LCM(93084,93099) = 2888675772

Least Common Multiple (LCM) of 93084 and 93099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93084 and 93099. First we will calculate the prime factors of 93084 and 93099.

Prime Factorization of 93084

Prime Factorization of 93099

Now multiplying the highest exponent prime factors to calculate the LCM of 93084 and 93099.

LCM(93084,93099) = 2² × 3¹ × 7757¹ × 31033¹
LCM(93084,93099) = 2888675772