What is the Least Common Multiple of 27084 and 27098?

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 27084 and 27098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27084 and 27098, than apply into the LCM equation.

GCF(27084,27098) = 2
LCM(27084,27098) = ( 27084 × 27098) / 2
LCM(27084,27098) = 733922232 / 2
LCM(27084,27098) = 366961116

Least Common Multiple (LCM) of 27084 and 27098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27084 and 27098. First we will calculate the prime factors of 27084 and 27098.

Prime Factorization of 27084

Prime Factorization of 27098

Now multiplying the highest exponent prime factors to calculate the LCM of 27084 and 27098.

LCM(27084,27098) = 2² × 3¹ × 37¹ × 61¹ × 17¹ × 797¹
LCM(27084,27098) = 366961116